16977182040 has 640 divisors, whose sum is σ = 71307371520. Its totient is φ = 3527193600.

The previous prime is 16977182021. The next prime is 16977182063. The reversal of 16977182040 is 4028177961.

It is a happy number.

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 159 ways as a sum of consecutive naturals, for example, 20933235 + ... + 20934045.

It is an arithmetic number, because the mean of its divisors is an integer number (111417768).

Almost surely, 2^16977182040 is an apocalyptic number.

16977182040 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 16977182040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35653685760).

16977182040 is an abundant number, since it is smaller than the sum of its proper divisors (54330189480).

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

16977182040 is a wasteful number, since it uses less digits than its factorization.

16977182040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 925 (or 912 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 16977182040 in words is "sixteen billion, nine hundred seventy-seven million, one hundred eighty-two thousand, forty".