147792919680 has 1024 divisors, whose sum is σ = 636636672000. Its totient is φ = 31651430400.

The previous prime is 147792919613. The next prime is 147792919693. The reversal of 147792919680 is 86919297741.

147792919680 is a `hidden beast` number, since 1 + 477 + 92 + 9 + 19 + 68 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 245911380 + ... + 245911980.

It is an arithmetic number, because the mean of its divisors is an integer number (621715500).

Almost surely, 2^147792919680 is an apocalyptic number.

147792919680 is a gapful number since it is divisible by the number (10) 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 147792919680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318318336000).

147792919680 is an abundant number, since it is smaller than the sum of its proper divisors (488843752320).

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

147792919680 is a wasteful number, since it uses less digits than its factorization.

147792919680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 13716864, while the sum is 63.

The spelling of 147792919680 in words is "one hundred forty-seven billion, seven hundred ninety-two million, nine hundred nineteen thousand, six hundred eighty".