4578764400 has 720 divisors, whose sum is σ = 19525059840. Its totient is φ = 970444800.

The previous prime is 4578764363. The next prime is 4578764431. The reversal of 4578764400 is 44678754.

4578764400 is a `hidden beast` number, since 4 + 578 + 76 + 4 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 143 ways as a sum of consecutive naturals, for example, 34952335 + ... + 34952465.

Almost surely, 2^4578764400 is an apocalyptic number.

4578764400 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 4578764400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9762529920).

4578764400 is an abundant number, since it is smaller than the sum of its proper divisors (14946295440).

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

4578764400 is a wasteful number, since it uses less digits than its factorization.

4578764400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The square root of 4578764400 is about 67666.5678160198. The cubic root of 4578764400 is about 1660.5403476320.

The spelling of 4578764400 in words is "four billion, five hundred seventy-eight million, seven hundred sixty-four thousand, four hundred".