64261834560 has 672 divisors, whose sum is σ = 277270366464. Its totient is φ = 13271040000.

The previous prime is 64261834547. The next prime is 64261834577. The reversal of 64261834560 is 6543816246.

64261834560 is a `hidden beast` number, since 6 + 4 + 2 + 6 + 1 + 83 + 4 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

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 95 ways as a sum of consecutive naturals, for example, 40137760 + ... + 40139360.

It is an arithmetic number, because the mean of its divisors is an integer number (412604712).

Almost surely, 2^64261834560 is an apocalyptic number.

64261834560 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 64261834560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138635183232).

64261834560 is an abundant number, since it is smaller than the sum of its proper divisors (213008531904).

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

64261834560 is a wasteful number, since it uses less digits than its factorization.

64261834560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1823 (or 1810 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 64261834560 in words is "sixty-four billion, two hundred sixty-one million, eight hundred thirty-four thousand, five hundred sixty".