7340637312 has 384 divisors, whose sum is σ = 23666872320. Its totient is φ = 2258150400.

The previous prime is 7340637307. The next prime is 7340637341. The reversal of 7340637312 is 2137360437.

7340637312 is a `hidden beast` number, since 7 + 3 + 4 + 0 + 637 + 3 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×7340637312² (a number of 21 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 22176987 + ... + 22177317.

It is an arithmetic number, because the mean of its divisors is an integer number (61632480).

Almost surely, 2^7340637312 is an apocalyptic number.

7340637312 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 7340637312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11833436160).

7340637312 is an abundant number, since it is smaller than the sum of its proper divisors (16326235008).

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

7340637312 is a wasteful number, since it uses less digits than its factorization.

7340637312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 36.

The square root of 7340637312 is about 85677.5192918189. The cubic root of 7340637312 is about 1943.4703632598.

Adding to 7340637312 its reverse (2137360437), we get a palindrome (9477997749).

The spelling of 7340637312 in words is "seven billion, three hundred forty million, six hundred thirty-seven thousand, three hundred twelve".