64947442560 has 1024 divisors, whose sum is σ = 284265676800. Its totient is φ = 12175441920.

The previous prime is 64947442541. The next prime is 64947442589. The reversal of 64947442560 is 6524474946.

64947442560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 90329881 + ... + 90330599.

It is an arithmetic number, because the mean of its divisors is an integer number (277603200).

Almost surely, 2^64947442560 is an apocalyptic number.

64947442560 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 64947442560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142132838400).

64947442560 is an abundant number, since it is smaller than the sum of its proper divisors (219318234240).

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

64947442560 is a wasteful number, since it uses less digits than its factorization.

64947442560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 819 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 51.

The spelling of 64947442560 in words is "sixty-four billion, nine hundred forty-seven million, four hundred forty-two thousand, five hundred sixty".