4672386900 has 324 divisors, whose sum is σ = 15747984252. Its totient is φ = 1158312960.

The previous prime is 4672386893. The next prime is 4672386931. The reversal of 4672386900 is 96832764.

4672386900 is a `hidden beast` number, since 467 + 23 + 86 + 90 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 209612484 + 4462774416 = 14478^2 + 66804^2 .

It is a super-2 number, since 2×4672386900² = 43662398686583220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 23717602 + ... + 23717798.

Almost surely, 2^4672386900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4672386900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7873992126).

4672386900 is an abundant number, since it is smaller than the sum of its proper divisors (11075597352).

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

4672386900 is a wasteful number, since it uses less digits than its factorization.

4672386900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 4672386900 is about 68354.8601051893. The cubic root of 4672386900 is about 1671.7818241490.

The spelling of 4672386900 in words is "four billion, six hundred seventy-two million, three hundred eighty-six thousand, nine hundred".