64476900 has 108 divisors (see below), whose sum is σ = 208708864. Its totient is φ = 16632000.

The previous prime is 64476883. The next prime is 64476941. The reversal of 64476900 is 967446.

64476900 is a `hidden beast` number, since 644 + 7 + 6 + 9 + 0 + 0 = 666.

It is a super-2 number, since 2×64476900² = 8314541267220000, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 26745 + ... + 29055.

Almost surely, 2^64476900 is an apocalyptic number.

64476900 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 64476900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104354432).

64476900 is an abundant number, since it is smaller than the sum of its proper divisors (144231964).

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

64476900 is a wasteful number, since it uses less digits than its factorization.

64476900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2362 (or 2352 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 64476900 is about 8029.7509301348. The cubic root of 64476900 is about 400.9910840197.

The spelling of 64476900 in words is "sixty-four million, four hundred seventy-six thousand, nine hundred".