47520728640 has 672 divisors, whose sum is σ = 204669054720. Its totient is φ = 9831628800.

The previous prime is 47520728597. The next prime is 47520728653. The reversal of 47520728640 is 4682702574.

It is a happy number.

47520728640 is a `hidden beast` number, since 4 + 7 + 520 + 7 + 2 + 86 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 93360706 + ... + 93361214.

Almost surely, 2^47520728640 is an apocalyptic number.

47520728640 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 47520728640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102334527360).

47520728640 is an abundant number, since it is smaller than the sum of its proper divisors (157148326080).

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

47520728640 is a wasteful number, since it uses less digits than its factorization.

47520728640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 47520728640 in words is "forty-seven billion, five hundred twenty million, seven hundred twenty-eight thousand, six hundred forty".