4794140736 has 448 divisors, whose sum is σ = 17767157760. Its totient is φ = 1231441920.

The previous prime is 4794140717. The next prime is 4794140737. The reversal of 4794140736 is 6370414974.

4794140736 is a `hidden beast` number, since 479 + 4 + 140 + 7 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a junction number, because it is equal to n+sod(n) for n = 4794140691 and 4794140700.

It is not an unprimeable number, because it can be changed into a prime (4794140737) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18228541 + ... + 18228803.

Almost surely, 2^4794140736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4794140736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8883578880).

4794140736 is an abundant number, since it is smaller than the sum of its proper divisors (12973017024).

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

4794140736 is a wasteful number, since it uses less digits than its factorization.

4794140736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 4794140736 is about 69239.7337949822. The cubic root of 4794140736 is about 1686.1786768756.

It can be divided in two parts, 4794 and 140736, that added together give a triangular number (145530 = T₅₃₉).

The spelling of 4794140736 in words is "four billion, seven hundred ninety-four million, one hundred forty thousand, seven hundred thirty-six".