7480461312 has 144 divisors (see below), whose sum is σ = 22876783020. Its totient is φ = 2346713088.

The previous prime is 7480461301. The next prime is 7480461323. The reversal of 7480461312 is 2131640847.

7480461312 is a `hidden beast` number, since 7 + 480 + 46 + 131 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (7480461301) and next prime (7480461323).

It can be written as a sum of positive squares in 2 ways, for example, as 7448380416 + 32080896 = 86304^2 + 5664^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×7480461312² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 301408 + ... + 325280.

Almost surely, 2^7480461312 is an apocalyptic number.

7480461312 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7480461312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11438391510).

7480461312 is an abundant number, since it is smaller than the sum of its proper divisors (15396321708).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7480461312 is a wasteful number, since it uses less digits than its factorization.

7480461312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23918 (or 23895 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 7480461312 is about 86489.6601450139. The cubic root of 7480461312 is about 1955.7325339676.

The spelling of 7480461312 in words is "seven billion, four hundred eighty million, four hundred sixty-one thousand, three hundred twelve".