64860220262400 has 288 divisors, whose sum is σ = 218464431756480. Its totient is φ = 16969715875840.

The previous prime is 64860220262399. The next prime is 64860220262401. The reversal of 64860220262400 is 426202206846.

It is an interprime number because it is at equal distance from previous prime (64860220262399) and next prime (64860220262401).

It is not an unprimeable number, because it can be changed into a prime (64860220262401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4157149 + ... + 12124451.

It is an arithmetic number, because the mean of its divisors is an integer number (758557054710).

Almost surely, 2^{64860220262400} is an apocalyptic number.

64860220262400 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 64860220262400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109232215878240).

64860220262400 is an abundant number, since it is smaller than the sum of its proper divisors (153604211494080).

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

64860220262400 is a wasteful number, since it uses less digits than its factorization.

64860220262400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7967391 (or 7967366 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 42.

The spelling of 64860220262400 in words is "sixty-four trillion, eight hundred sixty billion, two hundred twenty million, two hundred sixty-two thousand, four hundred".