47628721440 has 96 divisors (see below), whose sum is σ = 166700540160. Its totient is φ = 12700991232.

The previous prime is 47628721433. The next prime is 47628721451. The reversal of 47628721440 is 4412782674.

47628721440 is a `hidden beast` number, since 4 + 7 + 628 + 7 + 2 + 14 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5508264 + ... + 5516903.

It is an arithmetic number, because the mean of its divisors is an integer number (1736463960).

Almost surely, 2^47628721440 is an apocalyptic number.

47628721440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47628721440 is an abundant number, since it is smaller than the sum of its proper divisors (119071818720).

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

47628721440 is a wasteful number, since it uses less digits than its factorization.

47628721440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11025191 (or 11025177 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The spelling of 47628721440 in words is "forty-seven billion, six hundred twenty-eight million, seven hundred twenty-one thousand, four hundred forty".