7957954368 has 756 divisors, whose sum is σ = 30600208548. Its totient is φ = 1958584320.

The previous prime is 7957954363. The next prime is 7957954373. The reversal of 7957954368 is 8634597597.

7957954368 is a `hidden beast` number, since 7 + 9 + 579 + 54 + 3 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (7957954363) and next prime (7957954373).

It can be written as a sum of positive squares in 2 ways, for example, as 731594304 + 7226360064 = 27048^2 + 85008^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7957954363) by changing a digit.

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 107 ways as a sum of consecutive naturals, for example, 194096428 + ... + 194096468.

Almost surely, 2^7957954368 is an apocalyptic number.

7957954368 is a gapful number since it is divisible by the number (78) 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 7957954368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15300104274).

7957954368 is an abundant number, since it is smaller than the sum of its proper divisors (22642254180).

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

7957954368 is a wasteful number, since it uses less digits than its factorization.

7957954368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 89 counting only the distinct ones).

The product of its digits is 57153600, while the sum is 63.

The square root of 7957954368 is about 89207.3672293942. The cubic root of 7957954368 is about 1996.4900410309.

The spelling of 7957954368 in words is "seven billion, nine hundred fifty-seven million, nine hundred fifty-four thousand, three hundred sixty-eight".