47734928640 has 864 divisors, whose sum is σ = 202917200640. Its totient is φ = 10408476672.

The previous prime is 47734928629. The next prime is 47734928651. The reversal of 47734928640 is 4682943774.

47734928640 is a `hidden beast` number, since 4 + 7 + 73 + 492 + 86 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (47734928629) and next prime (47734928651).

It is a tau number, because it is divible by the number of its divisors (864).

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 95 ways as a sum of consecutive naturals, for example, 127975494 + ... + 127975866.

Almost surely, 2^47734928640 is an apocalyptic number.

47734928640 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 47734928640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101458600320).

47734928640 is an abundant number, since it is smaller than the sum of its proper divisors (155182272000).

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

47734928640 is a wasteful number, since it uses less digits than its factorization.

47734928640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 413 counting only the distinct ones).

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

The spelling of 47734928640 in words is "forty-seven billion, seven hundred thirty-four million, nine hundred twenty-eight thousand, six hundred forty".