7484685120 has 280 divisors, whose sum is σ = 29045842848. Its totient is φ = 1814400000.

The previous prime is 7484685113. The next prime is 7484685127. The reversal of 7484685120 is 215864847.

7484685120 is a `hidden beast` number, since 74 + 8 + 4 + 68 + 512 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (7484685113) and next prime (7484685127).

It is a super-2 number, since 2×7484685120² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7484685127) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 271995 + ... + 298245.

Almost surely, 2^7484685120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7484685120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14522921424).

7484685120 is an abundant number, since it is smaller than the sum of its proper divisors (21561157728).

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

7484685120 is a wasteful number, since it uses less digits than its factorization.

7484685120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26291 (or 26272 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 7484685120 is about 86514.0746930810. The cubic root of 7484685120 is about 1956.1005631612.

The spelling of 7484685120 in words is "seven billion, four hundred eighty-four million, six hundred eighty-five thousand, one hundred twenty".