47425279680 has 336 divisors, whose sum is σ = 169616079360. Its totient is φ = 12613045248.

The previous prime is 47425279667. The next prime is 47425279697. The reversal of 47425279680 is 8697252474.

47425279680 is a `hidden beast` number, since 474 + 2 + 5 + 2 + 7 + 96 + 80 = 666.

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 47 ways as a sum of consecutive naturals, for example, 45644601 + ... + 45645639.

It is an arithmetic number, because the mean of its divisors is an integer number (504809760).

Almost surely, 2^47425279680 is an apocalyptic number.

47425279680 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 47425279680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84808039680).

47425279680 is an abundant number, since it is smaller than the sum of its proper divisors (122190799680).

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

47425279680 is a wasteful number, since it uses less digits than its factorization.

47425279680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1658 (or 1636 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 47425279680 in words is "forty-seven billion, four hundred twenty-five million, two hundred seventy-nine thousand, six hundred eighty".