47656304640 has 1024 divisors, whose sum is σ = 206356608000. Its totient is φ = 10319560704.

The previous prime is 47656304639. The next prime is 47656304651. The reversal of 47656304640 is 4640365674.

It is a happy number.

47656304640 is a `hidden beast` number, since 4 + 7 + 6 + 5 + 630 + 4 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1024).

It is a super-2 number, since 2×47656304640² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2508226551 + ... + 2508226569.

It is an arithmetic number, because the mean of its divisors is an integer number (201520125).

Almost surely, 2^47656304640 is an apocalyptic number.

47656304640 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 47656304640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103178304000).

47656304640 is an abundant number, since it is smaller than the sum of its proper divisors (158700303360).

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

47656304640 is an frugal number, since it uses more digits than its factorization.

47656304640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 47656304640 in words is "forty-seven billion, six hundred fifty-six million, three hundred four thousand, six hundred forty".