64768999680 has 2160 divisors, whose sum is σ = 314655485760. Its totient is φ = 12541132800.

The previous prime is 64768999679. The next prime is 64768999739. The reversal of 64768999680 is 8699986746.

64768999680 is a `hidden beast` number, since 6 + 476 + 8 + 9 + 99 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

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 = 64768999599 and 64768999608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1061786850 + ... + 1061786910.

It is an arithmetic number, because the mean of its divisors is an integer number (145673836).

Almost surely, 2^64768999680 is an apocalyptic number.

64768999680 is a gapful number since it is divisible by the number (60) 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 64768999680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157327742880).

64768999680 is an abundant number, since it is smaller than the sum of its proper divisors (249886486080).

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

64768999680 is a wasteful number, since it uses less digits than its factorization.

64768999680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 282175488, while the sum is 72.

The spelling of 64768999680 in words is "sixty-four billion, seven hundred sixty-eight million, nine hundred ninety-nine thousand, six hundred eighty".