47424935376 has 960 divisors, whose sum is σ = 182388326400. Its totient is φ = 11668478976.

The previous prime is 47424935359. The next prime is 47424935387. The reversal of 47424935376 is 67353942474.

It is a happy number.

47424935376 is a `hidden beast` number, since 47 + 4 + 249 + 353 + 7 + 6 = 666.

47424935376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×47424935376² (a number of 22 digits) contains 22 as substring.

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 191 ways as a sum of consecutive naturals, for example, 373424625 + ... + 373424751.

It is an arithmetic number, because the mean of its divisors is an integer number (189987840).

Almost surely, 2^47424935376 is an apocalyptic number.

47424935376 is a gapful number since it is divisible by the number (46) 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 47424935376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91194163200).

47424935376 is an abundant number, since it is smaller than the sum of its proper divisors (134963391024).

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

47424935376 is a wasteful number, since it uses less digits than its factorization.

47424935376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 234 counting only the distinct ones).

The product of its digits is 15240960, while the sum is 54.

The spelling of 47424935376 in words is "forty-seven billion, four hundred twenty-four million, nine hundred thirty-five thousand, three hundred seventy-six".