64412220600 has 720 divisors, whose sum is σ = 276934529520. Its totient is φ = 13586227200.

The previous prime is 64412220581. The next prime is 64412220619. The reversal of 64412220600 is 602221446.

64412220600 is a `hidden beast` number, since 6 + 44 + 12 + 2 + 2 + 0 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (64412220581) and next prime (64412220619).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 19162920 + ... + 19166280.

It is an arithmetic number, because the mean of its divisors is an integer number (384631291).

Almost surely, 2^64412220600 is an apocalyptic number.

64412220600 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 64412220600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138467264760).

64412220600 is an abundant number, since it is smaller than the sum of its proper divisors (212522308920).

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

64412220600 is a wasteful number, since it uses less digits than its factorization.

64412220600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3422 (or 3391 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 64412220600 in words is "sixty-four billion, four hundred twelve million, two hundred twenty thousand, six hundred".