47766136320 has 640 divisors, whose sum is σ = 195158937600. Its totient is φ = 10847748096.

The previous prime is 47766136307. The next prime is 47766136417. The reversal of 47766136320 is 2363166774.

47766136320 is a `hidden beast` number, since 4 + 7 + 7 + 6 + 6 + 1 + 3 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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, 130152777 + ... + 130153143.

It is an arithmetic number, because the mean of its divisors is an integer number (304935840).

Almost surely, 2^47766136320 is an apocalyptic number.

47766136320 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 47766136320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97579468800).

47766136320 is an abundant number, since it is smaller than the sum of its proper divisors (147392801280).

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

47766136320 is a wasteful number, since it uses less digits than its factorization.

47766136320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 45.

The spelling of 47766136320 in words is "forty-seven billion, seven hundred sixty-six million, one hundred thirty-six thousand, three hundred twenty".