163972665360 has 1280 divisors, whose sum is σ = 709668864000. Its totient is φ = 33977180160.

The previous prime is 163972665359. The next prime is 163972665391. The reversal of 163972665360 is 63566279361.

163972665360 is a `hidden beast` number, since 1 + 6 + 39 + 72 + 6 + 6 + 536 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 163972665297 and 163972665306.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 716037726 + ... + 716037954.

It is an arithmetic number, because the mean of its divisors is an integer number (554428800).

Almost surely, 2^163972665360 is an apocalyptic number.

163972665360 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 163972665360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354834432000).

163972665360 is an abundant number, since it is smaller than the sum of its proper divisors (545696198640).

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

163972665360 is a wasteful number, since it uses less digits than its factorization.

163972665360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 54.

The spelling of 163972665360 in words is "one hundred sixty-three billion, nine hundred seventy-two million, six hundred sixty-five thousand, three hundred sixty".