7971074640 has 240 divisors, whose sum is σ = 28106058240. Its totient is φ = 2021852160.

The previous prime is 7971074627. The next prime is 7971074653. The reversal of 7971074640 is 464701797.

It is an interprime number because it is at equal distance from previous prime (7971074627) and next prime (7971074653).

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×7971074640² (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1313854 + ... + 1319906.

It is an arithmetic number, because the mean of its divisors is an integer number (117108576).

Almost surely, 2^7971074640 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 7971074640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14053029120).

7971074640 is an abundant number, since it is smaller than the sum of its proper divisors (20134983600).

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

7971074640 is a wasteful number, since it uses less digits than its factorization.

7971074640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6162 (or 6153 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The square root of 7971074640 is about 89280.8749957123. The cubic root of 7971074640 is about 1997.5866423571.

The spelling of 7971074640 in words is "seven billion, nine hundred seventy-one million, seventy-four thousand, six hundred forty".