152066792640 has 672 divisors, whose sum is σ = 589859103744. Its totient is φ = 32444375040.

The previous prime is 152066792627. The next prime is 152066792659. The reversal of 152066792640 is 46297660251.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 152066792640.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1197376257 + ... + 1197376383.

Almost surely, 2^152066792640 is an apocalyptic number.

152066792640 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 152066792640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294929551872).

152066792640 is an abundant number, since it is smaller than the sum of its proper divisors (437792311104).

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

152066792640 is a wasteful number, since it uses less digits than its factorization.

152066792640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The spelling of 152066792640 in words is "one hundred fifty-two billion, sixty-six million, seven hundred ninety-two thousand, six hundred forty".