4864622400 has 672 divisors, whose sum is σ = 20069251200. Its totient is φ = 1135411200.

The previous prime is 4864622387. The next prime is 4864622417. The reversal of 4864622400 is 42264684.

It is a happy number.

4864622400 is a `hidden beast` number, since 4 + 8 + 646 + 2 + 2 + 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 95 ways as a sum of consecutive naturals, for example, 13780624 + ... + 13780976.

Almost surely, 2^4864622400 is an apocalyptic number.

4864622400 is a gapful number since it is divisible by the number (40) 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 4864622400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10034625600).

4864622400 is an abundant number, since it is smaller than the sum of its proper divisors (15204628800).

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

4864622400 is a wasteful number, since it uses less digits than its factorization.

4864622400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 4864622400 is about 69746.8450899394. The cubic root of 4864622400 is about 1694.4016997150.

It can be divided in two parts, 4864 and 622400, that added together give a square (627264 = 792²).

The spelling of 4864622400 in words is "four billion, eight hundred sixty-four million, six hundred twenty-two thousand, four hundred".