64036521787392 has 1440 divisors, whose sum is σ = 245261152281600. Its totient is φ = 15596126208000.

The previous prime is 64036521787369. The next prime is 64036521787423. The reversal of 64036521787392 is 29378712563046.

It is a happy number.

64036521787392 is a `hidden beast` number, since 6 + 4 + 0 + 3 + 6 + 521 + 78 + 7 + 39 + 2 = 666.

It is a super-2 number, since 2×64036521787392² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21788539459 + ... + 21788542397.

It is an arithmetic number, because the mean of its divisors is an integer number (170320244640).

It is a 1-persistent number, because it is pandigital, but 2⋅64036521787392 = 128073043574784 is not.

Almost surely, 2^{64036521787392} 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 64036521787392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122630576140800).

64036521787392 is an abundant number, since it is smaller than the sum of its proper divisors (181224630494208).

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

64036521787392 is a wasteful number, since it uses less digits than its factorization.

64036521787392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3111 (or 3082 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 63.

It can be divided in two parts, 6403652 and 1787392, that added together give a square (8191044 = 2862²).

The spelling of 64036521787392 in words is "sixty-four trillion, thirty-six billion, five hundred twenty-one million, seven hundred eighty-seven thousand, three hundred ninety-two".