6017977073664 has 720 divisors, whose sum is σ = 20048921474400. Its totient is φ = 1726551687168.

The previous prime is 6017977073653. The next prime is 6017977073671. The reversal of 6017977073664 is 4663707797106.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1381218174 + ... + 1381222530.

It is an arithmetic number, because the mean of its divisors is an integer number (27845724270).

Almost surely, 2^{6017977073664} is an apocalyptic number.

6017977073664 is a gapful number since it is divisible by the number (64) 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 6017977073664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10024460737200).

6017977073664 is an abundant number, since it is smaller than the sum of its proper divisors (14030944400736).

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

6017977073664 is a wasteful number, since it uses less digits than its factorization.

6017977073664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4456 (or 4427 counting only the distinct ones).

The product of its (nonzero) digits is 56010528, while the sum is 63.

The spelling of 6017977073664 in words is "six trillion, seventeen billion, nine hundred seventy-seven million, seventy-three thousand, six hundred sixty-four".