47640752534800 has 30 divisors (see below), whose sum is σ = 114456907965818. Its totient is φ = 19056301013760.

The previous prime is 47640752534797. The next prime is 47640752534849. The reversal of 47640752534800 is 843525704674.

It can be written as a sum of positive squares in 3 ways, for example, as 5326716289024 + 42314036245776 = 2307968^2 + 6504924^2 .

It is a super-2 number, since 2×47640752534800² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 59550940269 + ... + 59550941068.

Almost surely, 2^{47640752534800} is an apocalyptic number.

47640752534800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47640752534800 is an abundant number, since it is smaller than the sum of its proper divisors (66816155431018).

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

47640752534800 is a wasteful number, since it uses less digits than its factorization.

47640752534800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119101881355 (or 119101881344 counting only the distinct ones).

The product of its (nonzero) digits is 22579200, while the sum is 55.

The spelling of 47640752534800 in words is "forty-seven trillion, six hundred forty billion, seven hundred fifty-two million, five hundred thirty-four thousand, eight hundred".