47792384640 has 1536 divisors, whose sum is σ = 230538147840. Its totient is φ = 9137111040.

The previous prime is 47792384621. The next prime is 47792384669. The reversal of 47792384640 is 4648329774.

47792384640 is a `hidden beast` number, since 477 + 92 + 3 + 8 + 46 + 40 = 666.

It is a super-2 number, since 2×47792384640² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 155675367 + ... + 155675673.

It is an arithmetic number, because the mean of its divisors is an integer number (150089940).

Almost surely, 2^47792384640 is an apocalyptic number.

47792384640 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 47792384640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115269073920).

47792384640 is an abundant number, since it is smaller than the sum of its proper divisors (182745763200).

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

47792384640 is a wasteful number, since it uses less digits than its factorization.

47792384640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 47792384640 in words is "forty-seven billion, seven hundred ninety-two million, three hundred eighty-four thousand, six hundred forty".