47619445824 has 504 divisors, whose sum is σ = 156780875160. Its totient is φ = 13753614336.

The previous prime is 47619445771. The next prime is 47619445843. The reversal of 47619445824 is 42854491674.

47619445824 is a `hidden beast` number, since 4 + 7 + 6 + 19 + 44 + 582 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3620188224 + 43999257600 = 60168^2 + 209760^2 .

It is a super-2 number, since 2×47619445824² (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 71 ways as a sum of consecutive naturals, for example, 150218914 + ... + 150219230.

It is an arithmetic number, because the mean of its divisors is an integer number (311073165).

Almost surely, 2^47619445824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47619445824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78390437580).

47619445824 is an abundant number, since it is smaller than the sum of its proper divisors (109161429336).

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

47619445824 is a wasteful number, since it uses less digits than its factorization.

47619445824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 391 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The spelling of 47619445824 in words is "forty-seven billion, six hundred nineteen million, four hundred forty-five thousand, eight hundred twenty-four".