15368071680 has 400 divisors, whose sum is σ = 59288095944. Its totient is φ = 3782246400.

The previous prime is 15368071651. The next prime is 15368071717. The reversal of 15368071680 is 8617086351.

It can be written as a sum of positive squares in 4 ways, for example, as 12262461696 + 3105609984 = 110736^2 + 55728^2 .

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 39 ways as a sum of consecutive naturals, for example, 2692830 + ... + 2698530.

Almost surely, 2^15368071680 is an apocalyptic number.

15368071680 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 15368071680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29644047972).

15368071680 is an abundant number, since it is smaller than the sum of its proper divisors (43920024264).

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

15368071680 is an equidigital number, since it uses as much as digits as its factorization.

15368071680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5749 (or 5724 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 15368071680 in words is "fifteen billion, three hundred sixty-eight million, seventy-one thousand, six hundred eighty".