4767942400 has 216 divisors, whose sum is σ = 13460794704. Its totient is φ = 1656422400.

The previous prime is 4767942391. The next prime is 4767942463. The reversal of 4767942400 is 42497674.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1412715 + ... + 1416085.

It is an arithmetic number, because the mean of its divisors is an integer number (62318494).

Almost surely, 2^4767942400 is an apocalyptic number.

4767942400 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 4767942400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6730397352).

4767942400 is an abundant number, since it is smaller than the sum of its proper divisors (8692852304).

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

4767942400 is a wasteful number, since it uses less digits than its factorization.

4767942400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3427 (or 3408 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 43.

The square root of 4767942400 is about 69050.2889204672. The cubic root of 4767942400 is about 1683.1016021455.

The spelling of 4767942400 in words is "four billion, seven hundred sixty-seven million, nine hundred forty-two thousand, four hundred".