16079307840 has 448 divisors, whose sum is σ = 61191648000. Its totient is φ = 3961405440.

The previous prime is 16079307809. The next prime is 16079307877. The reversal of 16079307840 is 4870397061.

16079307840 is a `hidden beast` number, since 1 + 607 + 9 + 30 + 7 + 8 + 4 + 0 = 666.

It is a super-2 number, since 2×16079307840² (a number of 21 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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6729366 + ... + 6731754.

It is an arithmetic number, because the mean of its divisors is an integer number (136588500).

Almost surely, 2^16079307840 is an apocalyptic number.

16079307840 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 16079307840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30595824000).

16079307840 is an abundant number, since it is smaller than the sum of its proper divisors (45112340160).

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

16079307840 is a wasteful number, since it uses less digits than its factorization.

16079307840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2475 (or 2459 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 16079307840 in words is "sixteen billion, seventy-nine million, three hundred seven thousand, eight hundred forty".