64379220433200 has 960 divisors, whose sum is σ = 243157294080000. Its totient is φ = 16132742784000.

The previous prime is 64379220433193. The next prime is 64379220433243. The reversal of 64379220433200 is 233402297346.

64379220433200 is a `hidden beast` number, since 6 + 4 + 3 + 7 + 9 + 2 + 2 + 0 + 433 + 200 = 666.

64379220433200 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 31573917781 + ... + 31573919819.

It is an arithmetic number, because the mean of its divisors is an integer number (253288848000).

Almost surely, 2^{64379220433200} is an apocalyptic number.

64379220433200 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 64379220433200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121578647040000).

64379220433200 is an abundant number, since it is smaller than the sum of its proper divisors (178778073646800).

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

64379220433200 is a wasteful number, since it uses less digits than its factorization.

64379220433200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3255 (or 3238 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 45.

The spelling of 64379220433200 in words is "sixty-four trillion, three hundred seventy-nine billion, two hundred twenty million, four hundred thirty-three thousand, two hundred".