16672831560 has 768 divisors, whose sum is σ = 72624384000. Its totient is φ = 3305111040.

The previous prime is 16672831547. The next prime is 16672831573. The reversal of 16672831560 is 6513827661.

16672831560 is a `hidden beast` number, since 1 + 6 + 6 + 7 + 2 + 83 + 1 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (16672831547) and next prime (16672831573).

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

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, 43991451 + ... + 43991829.

It is an arithmetic number, because the mean of its divisors is an integer number (94563000).

Almost surely, 2^16672831560 is an apocalyptic number.

16672831560 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 16672831560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36312192000).

16672831560 is an abundant number, since it is smaller than the sum of its proper divisors (55951552440).

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

16672831560 is a wasteful number, since it uses less digits than its factorization.

16672831560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 16672831560 in words is "sixteen billion, six hundred seventy-two million, eight hundred thirty-one thousand, five hundred sixty".