47879973680 has 800 divisors, whose sum is σ = 158446430208. Its totient is φ = 13276569600.

The previous prime is 47879973679. The next prime is 47879973689. The reversal of 47879973680 is 8637997874.

It is a Harshad number since it is a multiple of its sum of digits (68).

It is a self number, because there is not a number n which added to its sum of digits gives 47879973680.

It is not an unprimeable number, because it can be changed into a prime (47879973689) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 1113487739 + ... + 1113487781.

Almost surely, 2^47879973680 is an apocalyptic number.

47879973680 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 47879973680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79223215104).

47879973680 is an abundant number, since it is smaller than the sum of its proper divisors (110566456528).

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

47879973680 is a wasteful number, since it uses less digits than its factorization.

47879973680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 128024064, while the sum is 68.

The spelling of 47879973680 in words is "forty-seven billion, eight hundred seventy-nine million, nine hundred seventy-three thousand, six hundred eighty".