64577897280 has 672 divisors, whose sum is σ = 254933366688. Its totient is φ = 14863564800.

The previous prime is 64577897207. The next prime is 64577897311. The reversal of 64577897280 is 8279877546.

64577897280 is a `hidden beast` number, since 6 + 457 + 78 + 97 + 28 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 29191772736 + 35386124544 = 170856^2 + 188112^2 .

It is a congruent number.

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, 153391470 + ... + 153391890.

It is an arithmetic number, because the mean of its divisors is an integer number (379365129).

Almost surely, 2^64577897280 is an apocalyptic number.

64577897280 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 64577897280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127466683344).

64577897280 is an abundant number, since it is smaller than the sum of its proper divisors (190355469408).

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

64577897280 is a wasteful number, since it uses less digits than its factorization.

64577897280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 715 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 47416320, while the sum is 63.

The spelling of 64577897280 in words is "sixty-four billion, five hundred seventy-seven million, eight hundred ninety-seven thousand, two hundred eighty".