47620130688 has 768 divisors, whose sum is σ = 164670105600. Its totient is φ = 13586227200.

The previous prime is 47620130647. The next prime is 47620130729. The reversal of 47620130688 is 88603102674.

47620130688 is a `hidden beast` number, since 4 + 7 + 620 + 13 + 0 + 6 + 8 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (47620130647) and next prime (47620130729).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 363512383 + ... + 363512513.

It is an arithmetic number, because the mean of its divisors is an integer number (214414200).

Almost surely, 2^47620130688 is an apocalyptic number.

47620130688 is a gapful number since it is divisible by the number (48) 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 47620130688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82335052800).

47620130688 is an abundant number, since it is smaller than the sum of its proper divisors (117049974912).

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

47620130688 is a wasteful number, since it uses less digits than its factorization.

47620130688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 47620130688 in words is "forty-seven billion, six hundred twenty million, one hundred thirty thousand, six hundred eighty-eight".