7901652794112 has 1296 divisors, whose sum is σ = 32224714704000. Its totient is φ = 1829890621440.

The previous prime is 7901652794111. The next prime is 7901652794137. The reversal of 7901652794112 is 2114972561097.

7901652794112 is a `hidden beast` number, since 7 + 9 + 0 + 16 + 527 + 94 + 1 + 12 = 666.

It is a super-3 number, since 3×7901652794112³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (7901652794111) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 401109639 + ... + 401129337.

It is an arithmetic number, because the mean of its divisors is an integer number (24864749000).

Almost surely, 2^{7901652794112} is an apocalyptic number.

7901652794112 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 7901652794112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16112357352000).

7901652794112 is an abundant number, since it is smaller than the sum of its proper divisors (24323061909888).

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

7901652794112 is a wasteful number, since it uses less digits than its factorization.

7901652794112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19782 (or 19758 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The spelling of 7901652794112 in words is "seven trillion, nine hundred one billion, six hundred fifty-two million, seven hundred ninety-four thousand, one hundred twelve".