4792562640 has 280 divisors, whose sum is σ = 17165669928. Its totient is φ = 1242915840.

The previous prime is 4792562627. The next prime is 4792562657. The reversal of 4792562640 is 462652974.

4792562640 is a `hidden beast` number, since 47 + 9 + 2 + 562 + 6 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1710980496 + 3081582144 = 41364^2 + 55512^2 .

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 55 ways as a sum of consecutive naturals, for example, 2156730 + ... + 2158950.

Almost surely, 2^4792562640 is an apocalyptic number.

4792562640 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 4792562640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8582834964).

4792562640 is an abundant number, since it is smaller than the sum of its proper divisors (12373107288).

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

4792562640 is a wasteful number, since it uses less digits than its factorization.

4792562640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2289 (or 2268 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 4792562640 is about 69228.3369726588. The cubic root of 4792562640 is about 1685.9936424071.

The spelling of 4792562640 in words is "four billion, seven hundred ninety-two million, five hundred sixty-two thousand, six hundred forty".