4742762400 has 216 divisors, whose sum is σ = 17114217120. Its totient is φ = 1235243520.

The previous prime is 4742762389. The next prime is 4742762419. The reversal of 4742762400 is 42672474.

It is a happy number.

4742762400 is a `hidden beast` number, since 4 + 7 + 4 + 27 + 624 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 301941 + ... + 317259.

Almost surely, 2^4742762400 is an apocalyptic number.

4742762400 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 4742762400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8557108560).

4742762400 is an abundant number, since it is smaller than the sum of its proper divisors (12371454720).

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

4742762400 is a wasteful number, since it uses less digits than its factorization.

4742762400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15388 (or 15372 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 36.

The square root of 4742762400 is about 68867.7166747962. The cubic root of 4742762400 is about 1680.1334927937.

The spelling of 4742762400 in words is "four billion, seven hundred forty-two million, seven hundred sixty-two thousand, four hundred".