161637507360 has 864 divisors, whose sum is σ = 666595146672. Its totient is φ = 35533209600.

The previous prime is 161637507359. The next prime is 161637507377. The reversal of 161637507360 is 63705736161.

161637507360 is a `hidden beast` number, since 1 + 6 + 1 + 637 + 5 + 0 + 7 + 3 + 6 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 94571010576 + 67066496784 = 307524^2 + 258972^2 .

It is a super-2 number, since 2×161637507360² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 263682414 + ... + 263683026.

Almost surely, 2^161637507360 is an apocalyptic number.

161637507360 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 161637507360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333297573336).

161637507360 is an abundant number, since it is smaller than the sum of its proper divisors (504957639312).

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

161637507360 is a wasteful number, since it uses less digits than its factorization.

161637507360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 45.

The spelling of 161637507360 in words is "one hundred sixty-one billion, six hundred thirty-seven million, five hundred seven thousand, three hundred sixty".