4795005600 has 1080 divisors, whose sum is σ = 22527245664. Its totient is φ = 964224000.

The previous prime is 4795005587. The next prime is 4795005613. The reversal of 4795005600 is 65005974.

4795005600 = 93³ + 94³ + ... + 372³.

4795005600 is a `hidden beast` number, since 4 + 7 + 95 + 0 + 0 + 560 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4795005587) and next prime (4795005613).

It is a tau number, because it is divible by the number of its divisors (1080).

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 179 ways as a sum of consecutive naturals, for example, 154677585 + ... + 154677615.

Almost surely, 2^4795005600 is an apocalyptic number.

4795005600 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 4795005600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11263622832).

4795005600 is an abundant number, since it is smaller than the sum of its proper divisors (17732240064).

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

4795005600 is a wasteful number, since it uses less digits than its factorization.

4795005600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 4795005600 is about 69245.9789446290. The cubic root of 4795005600 is about 1686.2800664419.

The spelling of 4795005600 in words is "four billion, seven hundred ninety-five million, five thousand, six hundred".