152673776640 has 1320 divisors, whose sum is σ = 695291094432. Its totient is φ = 31677972480.

The previous prime is 152673776639. The next prime is 152673776663. The reversal of 152673776640 is 46677376251.

It is a happy number.

152673776640 is a `hidden beast` number, since 1 + 5 + 267 + 377 + 6 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1320).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 223533739 + ... + 223534421.

Almost surely, 2^152673776640 is an apocalyptic number.

152673776640 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 152673776640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347645547216).

152673776640 is an abundant number, since it is smaller than the sum of its proper divisors (542617317792).

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

152673776640 is a wasteful number, since it uses less digits than its factorization.

152673776640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 745 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 8890560, while the sum is 54.

The spelling of 152673776640 in words is "one hundred fifty-two billion, six hundred seventy-three million, seven hundred seventy-six thousand, six hundred forty".