64820871615360 has 512 divisors, whose sum is σ = 243801585745920. Its totient is φ = 14335245066240.

The previous prime is 64820871615307. The next prime is 64820871615377. The reversal of 64820871615360 is 6351617802846.

It is a self number, because there is not a number n which added to its sum of digits gives 64820871615360.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2409415669 + ... + 2409442571.

It is an arithmetic number, because the mean of its divisors is an integer number (476174972160).

Almost surely, 2^{64820871615360} is an apocalyptic number.

64820871615360 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 64820871615360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121900792872960).

64820871615360 is an abundant number, since it is smaller than the sum of its proper divisors (178980714130560).

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

64820871615360 is a wasteful number, since it uses less digits than its factorization.

64820871615360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32746 (or 32734 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 57.

The spelling of 64820871615360 in words is "sixty-four trillion, eight hundred twenty billion, eight hundred seventy-one million, six hundred fifteen thousand, three hundred sixty".