149675980927680 has 1344 divisors, whose sum is σ = 574202351923200. Its totient is φ = 35630194360320.

The previous prime is 149675980927657. The next prime is 149675980927721. The reversal of 149675980927680 is 86729089576941.

149675980927680 is a `hidden beast` number, since 1 + 496 + 7 + 59 + 8 + 0 + 9 + 2 + 76 + 8 + 0 = 666.

It is a super-2 number, since 2×149675980927680² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 149675980927680.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 24581370076 + ... + 24581376164.

It is an arithmetic number, because the mean of its divisors is an integer number (427233892800).

Almost surely, 2^{149675980927680} is an apocalyptic number.

149675980927680 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 149675980927680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287101175961600).

149675980927680 is an abundant number, since it is smaller than the sum of its proper divisors (424526370995520).

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

149675980927680 is a wasteful number, since it uses less digits than its factorization.

149675980927680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6542 (or 6529 counting only the distinct ones).

The product of its (nonzero) digits is 3292047360, while the sum is 81.

The spelling of 149675980927680 in words is "one hundred forty-nine trillion, six hundred seventy-five billion, nine hundred eighty million, nine hundred twenty-seven thousand, six hundred eighty".