7901254867968 has 1408 divisors, whose sum is σ = 30246183782400. Its totient is φ = 1994398433280.

The previous prime is 7901254867951. The next prime is 7901254867969. The reversal of 7901254867968 is 8697684521097.

7901254867968 is a `hidden beast` number, since 7 + 9 + 0 + 1 + 2 + 548 + 6 + 79 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a super-2 number, since 2×7901254867968² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 7901254867896 and 7901254867905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7901254867969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9531066978 + ... + 9531067806.

Almost surely, 2^{7901254867968} 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 7901254867968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15123091891200).

7901254867968 is an abundant number, since it is smaller than the sum of its proper divisors (22344928914432).

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

7901254867968 is a wasteful number, since it uses less digits than its factorization.

7901254867968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 935 (or 889 counting only the distinct ones).

The product of its (nonzero) digits is 365783040, while the sum is 72.

The spelling of 7901254867968 in words is "seven trillion, nine hundred one billion, two hundred fifty-four million, eight hundred sixty-seven thousand, nine hundred sixty-eight".