47782462464 has 693 divisors, whose sum is σ = 164556399679. Its totient is φ = 13849989120.

The previous prime is 47782462457. The next prime is 47782462571. The reversal of 47782462464 is 46426428774.

The square root of 47782462464 is 218592.

It is a perfect power (a square), and thus also a powerful number.

47782462464 is a `hidden beast` number, since 4 + 7 + 7 + 8 + 2 + 4 + 624 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 47782462464.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 2077498357 + ... + 2077498379.

Almost surely, 2^47782462464 is an apocalyptic number.

47782462464 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

47782462464 is the 218592-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47782462464

47782462464 is an abundant number, since it is smaller than the sum of its proper divisors (116773937215).

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

47782462464 is an equidigital number, since it uses as much as digits as its factorization.

47782462464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 39 counting only the distinct ones).

The product of its digits is 14450688, while the sum is 54.

The spelling of 47782462464 in words is "forty-seven billion, seven hundred eighty-two million, four hundred sixty-two thousand, four hundred sixty-four".