47610992880 has 1080 divisors, whose sum is σ = 195879046272. Its totient is φ = 10340352000.

The previous prime is 47610992861. The next prime is 47610992893. The reversal of 47610992880 is 8829901674.

47610992880 is a `hidden beast` number, since 476 + 1 + 0 + 9 + 92 + 8 + 80 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 780508050 + ... + 780508110.

Almost surely, 2^47610992880 is an apocalyptic number.

47610992880 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 47610992880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97939523136).

47610992880 is an abundant number, since it is smaller than the sum of its proper divisors (148268053392).

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

47610992880 is a wasteful number, since it uses less digits than its factorization.

47610992880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 47610992880 in words is "forty-seven billion, six hundred ten million, nine hundred ninety-two thousand, eight hundred eighty".