3967798855680 has 1728 divisors, whose sum is σ = 16224545937600. Its totient is φ = 893406412800.

The previous prime is 3967798855667. The next prime is 3967798855729. The reversal of 3967798855680 is 865588977693.

3967798855680 is a `hidden beast` number, since 396 + 7 + 7 + 98 + 85 + 5 + 68 + 0 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 3967798855680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12924426087 + ... + 12924426393.

It is an arithmetic number, because the mean of its divisors is an integer number (9389204825).

Almost surely, 2^{3967798855680} is an apocalyptic number.

3967798855680 is a gapful number since it is divisible by the number (30) 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 3967798855680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8112272968800).

3967798855680 is an abundant number, since it is smaller than the sum of its proper divisors (12256747081920).

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

3967798855680 is a wasteful number, since it uses less digits than its factorization.

3967798855680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 5486745600, while the sum is 81.

The spelling of 3967798855680 in words is "three trillion, nine hundred sixty-seven billion, seven hundred ninety-eight million, eight hundred fifty-five thousand, six hundred eighty".