47958993600 has 672 divisors, whose sum is σ = 188582929920. Its totient is φ = 10438901760.

The previous prime is 47958993587. The next prime is 47958993601. The reversal of 47958993600 is 639985974.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (47958993601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 80874904 + ... + 80875496.

It is an arithmetic number, because the mean of its divisors is an integer number (280629360).

Almost surely, 2^47958993600 is an apocalyptic number.

47958993600 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 47958993600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94291464960).

47958993600 is an abundant number, since it is smaller than the sum of its proper divisors (140623936320).

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

47958993600 is a wasteful number, since it uses less digits than its factorization.

47958993600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 737 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 14696640, while the sum is 60.

The spelling of 47958993600 in words is "forty-seven billion, nine hundred fifty-eight million, nine hundred ninety-three thousand, six hundred".