15949077408 has 576 divisors, whose sum is σ = 55635600384. Its totient is φ = 4276224000.

The previous prime is 15949077407. The next prime is 15949077479. The reversal of 15949077408 is 80477094951.

15949077408 is a `hidden beast` number, since 1 + 594 + 9 + 0 + 7 + 7 + 40 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (15949077407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 68450860 + ... + 68451092.

It is an arithmetic number, because the mean of its divisors is an integer number (96589584).

Almost surely, 2^15949077408 is an apocalyptic number.

15949077408 is a gapful number since it is divisible by the number (18) 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 15949077408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27817800192).

15949077408 is an abundant number, since it is smaller than the sum of its proper divisors (39686522976).

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

15949077408 is a wasteful number, since it uses less digits than its factorization.

15949077408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 338 counting only the distinct ones).

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

The spelling of 15949077408 in words is "fifteen billion, nine hundred forty-nine million, seventy-seven thousand, four hundred eight".