47960677800 has 768 divisors, whose sum is σ = 203486976000. Its totient is φ = 10137415680.

The previous prime is 47960677799. The next prime is 47960677823. The reversal of 47960677800 is 877606974.

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 191 ways as a sum of consecutive naturals, for example, 30881824 + ... + 30883376.

It is an arithmetic number, because the mean of its divisors is an integer number (264957000).

Almost surely, 2^47960677800 is an apocalyptic number.

47960677800 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 47960677800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101743488000).

47960677800 is an abundant number, since it is smaller than the sum of its proper divisors (155526298200).

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

47960677800 is a wasteful number, since it uses less digits than its factorization.

47960677800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1647 (or 1632 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The spelling of 47960677800 in words is "forty-seven billion, nine hundred sixty million, six hundred seventy-seven thousand, eight hundred".