64155824100 has 81 divisors (see below), whose sum is σ = 201116686953. Its totient is φ = 17106193440.

The previous prime is 64155824069. The next prime is 64155824107. The reversal of 64155824100 is 142855146.

It is a happy number.

The square root of 64155824100 is 253290.

It is a perfect power (a square), and thus also a powerful number.

64155824100 is a `hidden beast` number, since 64 + 1 + 5 + 582 + 4 + 10 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 23096096676 + 41059727424 = 151974^2 + 202632^2 .

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

It is not an unprimeable number, because it can be changed into a prime (64155824107) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7594479 + ... + 7602921.

Almost surely, 2^64155824100 is an apocalyptic number.

64155824100 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

64155824100 is the 253290-th square number.

It is an amenable number.

64155824100 is an abundant number, since it is smaller than the sum of its proper divisors (136960862853).

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

64155824100 is an equidigital number, since it uses as much as digits as its factorization.

64155824100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16906 (or 8453 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

Multiplying 64155824100 by its sum of digits (36), we get a square (2309609667600 = 1519740²).

64155824100 divided by its sum of digits (36) gives a square (1782106225 = 42215²).

The spelling of 64155824100 in words is "sixty-four billion, one hundred fifty-five million, eight hundred twenty-four thousand, one hundred".