47616491520 has 864 divisors, whose sum is σ = 192366824832. Its totient is φ = 11211374592.

The previous prime is 47616491491. The next prime is 47616491537. The reversal of 47616491520 is 2519461674.

47616491520 is a `hidden beast` number, since 4 + 7 + 61 + 64 + 9 + 1 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 47 ways as a sum of consecutive naturals, for example, 2070282229 + ... + 2070282251.

It is an arithmetic number, because the mean of its divisors is an integer number (222646788).

Almost surely, 2^47616491520 is an apocalyptic number.

47616491520 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 47616491520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96183412416).

47616491520 is an abundant number, since it is smaller than the sum of its proper divisors (144750333312).

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

47616491520 is an frugal number, since it uses more digits than its factorization.

47616491520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 47616491520 in words is "forty-seven billion, six hundred sixteen million, four hundred ninety-one thousand, five hundred twenty".