47501959680 has 640 divisors, whose sum is σ = 199118684160. Its totient is φ = 10504028160.

The previous prime is 47501959643. The next prime is 47501959727. The reversal of 47501959680 is 8695910574.

47501959680 is a `hidden beast` number, since 4 + 7 + 501 + 9 + 59 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14997457 + ... + 15000623.

It is an arithmetic number, because the mean of its divisors is an integer number (311122944).

Almost surely, 2^47501959680 is an apocalyptic number.

47501959680 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 47501959680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99559342080).

47501959680 is an abundant number, since it is smaller than the sum of its proper divisors (151616724480).

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

47501959680 is a wasteful number, since it uses less digits than its factorization.

47501959680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3237 (or 3215 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 47501959680 in words is "forty-seven billion, five hundred one million, nine hundred fifty-nine thousand, six hundred eighty".