47415726792 has 192 divisors, whose sum is σ = 156605904000. Its totient is φ = 12658332672.

The previous prime is 47415726779. The next prime is 47415726823. The reversal of 47415726792 is 29762751474.

47415726792 is a `hidden beast` number, since 4 + 7 + 4 + 1 + 572 + 67 + 9 + 2 = 666.

It is a super-2 number, since 2×47415726792² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 665134 + ... + 732962.

It is an arithmetic number, because the mean of its divisors is an integer number (815655750).

Almost surely, 2^47415726792 is an apocalyptic number.

47415726792 is a gapful number since it is divisible by the number (42) 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 47415726792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78302952000).

47415726792 is an abundant number, since it is smaller than the sum of its proper divisors (109190177208).

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

47415726792 is a wasteful number, since it uses less digits than its factorization.

47415726792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67940 (or 67933 counting only the distinct ones).

The product of its digits is 5927040, while the sum is 54.

The spelling of 47415726792 in words is "forty-seven billion, four hundred fifteen million, seven hundred twenty-six thousand, seven hundred ninety-two".