15677444640 has 384 divisors, whose sum is σ = 59595201792. Its totient is φ = 3412869120.

The previous prime is 15677444639. The next prime is 15677444647. The reversal of 15677444640 is 4644477651.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 15677444640.

It is not an unprimeable number, because it can be changed into a prime (15677444647) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2536594 + ... + 2542766.

It is an arithmetic number, because the mean of its divisors is an integer number (155195838).

Almost surely, 2^15677444640 is an apocalyptic number.

15677444640 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 15677444640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29797600896).

15677444640 is an abundant number, since it is smaller than the sum of its proper divisors (43917757152).

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

15677444640 is a wasteful number, since it uses less digits than its factorization.

15677444640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6252 (or 6244 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 48.

The spelling of 15677444640 in words is "fifteen billion, six hundred seventy-seven million, four hundred forty-four thousand, six hundred forty".