64690632876960 has 288 divisors, whose sum is σ = 226828021387968. Its totient is φ = 16779733770240.

The previous prime is 64690632876953. The next prime is 64690632876997. The reversal of 64690632876960 is 6967823609646.

64690632876960 is a `hidden beast` number, since 6 + 469 + 0 + 6 + 3 + 2 + 8 + 76 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 12755199 + ... + 17090241.

It is an arithmetic number, because the mean of its divisors is an integer number (787597296486).

Almost surely, 2^{64690632876960} is an apocalyptic number.

64690632876960 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 64690632876960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113414010693984).

64690632876960 is an abundant number, since it is smaller than the sum of its proper divisors (162137388511008).

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

64690632876960 is a wasteful number, since it uses less digits than its factorization.

64690632876960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4335348 (or 4335337 counting only the distinct ones).

The product of its (nonzero) digits is 846526464, while the sum is 72.

The spelling of 64690632876960 in words is "sixty-four trillion, six hundred ninety billion, six hundred thirty-two million, eight hundred seventy-six thousand, nine hundred sixty".