181672457040 has 1120 divisors, whose sum is σ = 725081020416. Its totient is φ = 42042654720.

The previous prime is 181672457039. The next prime is 181672457053. The reversal of 181672457040 is 40754276181.

181672457040 is a `hidden beast` number, since 1 + 8 + 1 + 6 + 72 + 4 + 570 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 706896592 + ... + 706896848.

Almost surely, 2^181672457040 is an apocalyptic number.

181672457040 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 181672457040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362540510208).

181672457040 is an abundant number, since it is smaller than the sum of its proper divisors (543408563376).

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

181672457040 is a wasteful number, since it uses less digits than its factorization.

181672457040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 181672457040 in words is "one hundred eighty-one billion, six hundred seventy-two million, four hundred fifty-seven thousand, forty".