6097752857664 has 336 divisors, whose sum is σ = 19422128125440. Its totient is φ = 1875183298560.

The previous prime is 6097752857657. The next prime is 6097752857671. The reversal of 6097752857664 is 4667582577906.

6097752857664 is a `hidden beast` number, since 6 + 0 + 97 + 7 + 528 + 5 + 7 + 6 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (6097752857657) and next prime (6097752857671).

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 = 6097752857592 and 6097752857601.

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, 644509894 + ... + 644519354.

Almost surely, 2^{6097752857664} is an apocalyptic number.

6097752857664 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 6097752857664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9711064062720).

6097752857664 is an abundant number, since it is smaller than the sum of its proper divisors (13324375267776).

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

6097752857664 is a wasteful number, since it uses less digits than its factorization.

6097752857664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11715 (or 11686 counting only the distinct ones).

The product of its (nonzero) digits is 1066867200, while the sum is 72.

The spelling of 6097752857664 in words is "six trillion, ninety-seven billion, seven hundred fifty-two million, eight hundred fifty-seven thousand, six hundred sixty-four".