64621670400 has 1404 divisors, whose sum is σ = 284491057032. Its totient is φ = 14491975680.

The previous prime is 64621670371. The next prime is 64621670411. The reversal of 64621670400 is 407612646.

64621670400 is a `hidden beast` number, since 646 + 2 + 1 + 6 + 7 + 0 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1219276774 + ... + 1219276826.

It is an arithmetic number, because the mean of its divisors is an integer number (202628958).

Almost surely, 2^64621670400 is an apocalyptic number.

64621670400 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 64621670400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142245528516).

64621670400 is an abundant number, since it is smaller than the sum of its proper divisors (219869386632).

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

64621670400 is an equidigital number, since it uses as much as digits as its factorization.

64621670400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 64621670400 in words is "sixty-four billion, six hundred twenty-one million, six hundred seventy thousand, four hundred".