47512124640 has 240 divisors, whose sum is σ = 169167298608. Its totient is φ = 12557389824.

The previous prime is 47512124623. The next prime is 47512124651. The reversal of 47512124640 is 4642121574.

47512124640 is a `hidden beast` number, since 4 + 7 + 5 + 1 + 2 + 1 + 2 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 47512124595 and 47512124604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1448259 + ... + 1480701.

Almost surely, 2^47512124640 is an apocalyptic number.

47512124640 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 47512124640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84583649304).

47512124640 is an abundant number, since it is smaller than the sum of its proper divisors (121655173968).

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

47512124640 is a wasteful number, since it uses less digits than its factorization.

47512124640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32583 (or 32566 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 47512124640 in words is "forty-seven billion, five hundred twelve million, one hundred twenty-four thousand, six hundred forty".