7977501561600 has 540 divisors, whose sum is σ = 29516739332080. Its totient is φ = 2125871308800.

The previous prime is 7977501561583. The next prime is 7977501561649. The reversal of 7977501561600 is 61651057797.

7977501561600 is a `hidden beast` number, since 7 + 9 + 7 + 7 + 5 + 0 + 15 + 616 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 902529981 + ... + 902538819.

Almost surely, 2^{7977501561600} 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 7977501561600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14758369666040).

7977501561600 is an abundant number, since it is smaller than the sum of its proper divisors (21539237770480).

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

7977501561600 is a wasteful number, since it uses less digits than its factorization.

7977501561600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10618 (or 10590 counting only the distinct ones).

The product of its (nonzero) digits is 2778300, while the sum is 54.

The spelling of 7977501561600 in words is "seven trillion, nine hundred seventy-seven billion, five hundred one million, five hundred sixty-one thousand, six hundred".