64013770172352 has 1792 divisors, whose sum is σ = 235765604745216. Its totient is φ = 14920073625600.

The previous prime is 64013770172323. The next prime is 64013770172383. The reversal of 64013770172352 is 25327107731046.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 205832058277 + ... + 205832058587.

It is an arithmetic number, because the mean of its divisors is an integer number (131565627648).

Almost surely, 2^{64013770172352} 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 64013770172352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117882802372608).

64013770172352 is an abundant number, since it is smaller than the sum of its proper divisors (171751834572864).

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

64013770172352 is a wasteful number, since it uses less digits than its factorization.

64013770172352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 1481760, while the sum is 48.

The spelling of 64013770172352 in words is "sixty-four trillion, thirteen billion, seven hundred seventy million, one hundred seventy-two thousand, three hundred fifty-two".