7956703494432 has 1152 divisors, whose sum is σ = 31129660800000. Its totient is φ = 1949728112640.

The previous prime is 7956703494427. The next prime is 7956703494569. The reversal of 7956703494432 is 2344943076597.

It is a happy number.

7956703494432 is a `hidden beast` number, since 7 + 9 + 567 + 0 + 34 + 9 + 4 + 4 + 32 = 666.

It is a hoax number, since the sum of its digits (63) 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 (63).

It is a self number, because there is not a number n which added to its sum of digits gives 7956703494432.

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 191 ways as a sum of consecutive naturals, for example, 2273991819 + ... + 2273995317.

It is an arithmetic number, because the mean of its divisors is an integer number (27022275000).

Almost surely, 2^{7956703494432} is an apocalyptic number.

7956703494432 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 7956703494432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15564830400000).

7956703494432 is an abundant number, since it is smaller than the sum of its proper divisors (23172957305568).

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

7956703494432 is a wasteful number, since it uses less digits than its factorization.

7956703494432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3819 (or 3798 counting only the distinct ones).

The product of its (nonzero) digits is 137168640, while the sum is 63.

The spelling of 7956703494432 in words is "seven trillion, nine hundred fifty-six billion, seven hundred three million, four hundred ninety-four thousand, four hundred thirty-two".