150072668928 has 216 divisors, whose sum is σ = 532550284448. Its totient is φ = 39579549696.

The previous prime is 150072668891. The next prime is 150072668939. The reversal of 150072668928 is 829866270051.

150072668928 is a `hidden beast` number, since 1 + 500 + 72 + 6 + 68 + 9 + 2 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148225 + ... + 567552.

Almost surely, 2^150072668928 is an apocalyptic number.

150072668928 is a gapful number since it is divisible by the number (18) 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 150072668928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266275142224).

150072668928 is an abundant number, since it is smaller than the sum of its proper divisors (382477615520).

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

150072668928 is a wasteful number, since it uses less digits than its factorization.

150072668928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 715819 (or 715802 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 150072668928 in words is "one hundred fifty billion, seventy-two million, six hundred sixty-eight thousand, nine hundred twenty-eight".