16801779456 has 720 divisors, whose sum is σ = 66243260160. Its totient is φ = 4100751360.

The previous prime is 16801779431. The next prime is 16801779479. The reversal of 16801779456 is 65497710861.

16801779456 is a `hidden beast` number, since 16 + 8 + 0 + 177 + 9 + 456 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 27143115 + ... + 27143733.

It is an arithmetic number, because the mean of its divisors is an integer number (92004528).

Almost surely, 2^16801779456 is an apocalyptic number.

16801779456 is a gapful number since it is divisible by the number (16) 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 16801779456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33121630080).

16801779456 is an abundant number, since it is smaller than the sum of its proper divisors (49441480704).

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

16801779456 is a wasteful number, since it uses less digits than its factorization.

16801779456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 16801779456 in words is "sixteen billion, eight hundred one million, seven hundred seventy-nine thousand, four hundred fifty-six".