64821608400 has 480 divisors, whose sum is σ = 231422330880. Its totient is φ = 15434496000.

The previous prime is 64821608393. The next prime is 64821608503. The reversal of 64821608400 is 480612846.

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, 37231530 + ... + 37233270.

It is an arithmetic number, because the mean of its divisors is an integer number (482129856).

Almost surely, 2^64821608400 is an apocalyptic number.

64821608400 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 64821608400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115711165440).

64821608400 is an abundant number, since it is smaller than the sum of its proper divisors (166600722480).

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

64821608400 is a wasteful number, since it uses less digits than its factorization.

64821608400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1875 (or 1864 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The spelling of 64821608400 in words is "sixty-four billion, eight hundred twenty-one million, six hundred eight thousand, four hundred".