47878164720 has 160 divisors (see below), whose sum is σ = 165511103040. Its totient is φ = 12721259520.

The previous prime is 47878164709. The next prime is 47878164731. The reversal of 47878164720 is 2746187874.

47878164720 is a `hidden beast` number, since 478 + 7 + 8 + 164 + 7 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (47878164709) and next prime (47878164731).

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 31 ways as a sum of consecutive naturals, for example, 558310 + ... + 638330.

It is an arithmetic number, because the mean of its divisors is an integer number (1034444394).

Almost surely, 2^47878164720 is an apocalyptic number.

47878164720 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 47878164720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82755551520).

47878164720 is an abundant number, since it is smaller than the sum of its proper divisors (117632938320).

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

47878164720 is a wasteful number, since it uses less digits than its factorization.

47878164720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80320 (or 80308 counting only the distinct ones).

The product of its (nonzero) digits is 4214784, while the sum is 54.

The spelling of 47878164720 in words is "forty-seven billion, eight hundred seventy-eight million, one hundred sixty-four thousand, seven hundred twenty".