97777764864 has 720 divisors, whose sum is σ = 328026112128. Its totient is φ = 27960311808.

The previous prime is 97777764829. The next prime is 97777764871. The reversal of 97777764864 is 46846777779.

97777764864 is a `hidden beast` number, since 9 + 7 + 7 + 77 + 76 + 486 + 4 = 666.

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 = 97777764792 and 97777764801.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 949298637 + ... + 949298739.

Almost surely, 2^97777764864 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 97777764864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164013056064).

97777764864 is an abundant number, since it is smaller than the sum of its proper divisors (230248347264).

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

97777764864 is a wasteful number, since it uses less digits than its factorization.

97777764864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 197 counting only the distinct ones).

The product of its digits is 697019904, while the sum is 72.

It can be divided in two parts, 97777 and 764864, that added together give a triangular number (862641 = T₁₃₁₃).

The spelling of 97777764864 in words is "ninety-seven billion, seven hundred seventy-seven million, seven hundred sixty-four thousand, eight hundred sixty-four".