7966929083904 has 1600 divisors, whose sum is σ = 29021041201152. Its totient is φ = 2128409395200.

The previous prime is 7966929083899. The next prime is 7966929084031. The reversal of 7966929083904 is 4093809296697.

7966929083904 is a `hidden beast` number, since 7 + 9 + 66 + 92 + 90 + 8 + 390 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 44016182694 + ... + 44016182874.

Almost surely, 2^{7966929083904} 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 7966929083904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14510520600576).

7966929083904 is an abundant number, since it is smaller than the sum of its proper divisors (21054112117248).

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

7966929083904 is a wasteful number, since it uses less digits than its factorization.

7966929083904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 317447424, while the sum is 72.

The spelling of 7966929083904 in words is "seven trillion, nine hundred sixty-six billion, nine hundred twenty-nine million, eighty-three thousand, nine hundred four".