64073140884900 has 729 divisors, whose sum is σ = 238994025217857. Its totient is φ = 14316013353600.

The previous prime is 64073140884889. The next prime is 64073140884901. The reversal of 64073140884900 is 948804137046.

The square root of 64073140884900 is 8004570.

It is a perfect power (a square), and thus also a powerful number.

64073140884900 is a `hidden beast` number, since 6 + 4 + 0 + 7 + 3 + 140 + 8 + 8 + 490 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 23066330718564 + 41006810166336 = 4802742^2 + 6403656^2 .

It is not an unprimeable number, because it can be changed into a prime (64073140884901) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 79005105495 + ... + 79005106305.

Almost surely, 2^{64073140884900} is an apocalyptic number.

64073140884900 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

64073140884900 is the 8004570-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64073140884900

64073140884900 is an abundant number, since it is smaller than the sum of its proper divisors (174920884332957).

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

64073140884900 is a wasteful number, since it uses less digits than its factorization.

64073140884900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1750 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 64073140884900 in words is "sixty-four trillion, seventy-three billion, one hundred forty million, eight hundred eighty-four thousand, nine hundred".