64000761112512 has 252 divisors, whose sum is σ = 213545526517440. Its totient is φ = 18273212762112.

The previous prime is 64000761112511. The next prime is 64000761112517. The reversal of 64000761112512 is 21521116700046.

64000761112512 is a `hidden beast` number, since 6 + 4 + 0 + 0 + 0 + 7 + 611 + 1 + 25 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64000761112511) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 39826428 + ... + 41402244.

Almost surely, 2^{64000761112512} 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 64000761112512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106772763258720).

64000761112512 is an abundant number, since it is smaller than the sum of its proper divisors (149544765404928).

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

64000761112512 is a wasteful number, since it uses less digits than its factorization.

64000761112512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1577288 (or 1577268 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

Adding to 64000761112512 its reverse (21521116700046), we get a palindrome (85521877812558).

The spelling of 64000761112512 in words is "sixty-four trillion, seven hundred sixty-one million, one hundred twelve thousand, five hundred twelve".