64892907343680 has 448 divisors, whose sum is σ = 228369411728640. Its totient is φ = 15508586889216.

The previous prime is 64892907343591. The next prime is 64892907343687. The reversal of 64892907343680 is 8634370929846.

64892907343680 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×64892907343680² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64892907343687) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 215491456 + ... + 215792384.

It is an arithmetic number, because the mean of its divisors is an integer number (509753151180).

Almost surely, 2^{64892907343680} is an apocalyptic number.

64892907343680 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 64892907343680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114184705864320).

64892907343680 is an abundant number, since it is smaller than the sum of its proper divisors (163476504384960).

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

64892907343680 is a wasteful number, since it uses less digits than its factorization.

64892907343680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301466 (or 301456 counting only the distinct ones).

The product of its (nonzero) digits is 376233984, while the sum is 69.

The spelling of 64892907343680 in words is "sixty-four trillion, eight hundred ninety-two billion, nine hundred seven million, three hundred forty-three thousand, six hundred eighty".