13762087680 has 144 divisors (see below), whose sum is σ = 47948511744. Its totient is φ = 3336253440.

The previous prime is 13762087649. The next prime is 13762087687. The reversal of 13762087680 is 8678026731.

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

It is not an unprimeable number, because it can be changed into a prime (13762087687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120664 + ... + 205143.

It is an arithmetic number, because the mean of its divisors is an integer number (332975776).

Almost surely, 2^13762087680 is an apocalyptic number.

13762087680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13762087680 is an abundant number, since it is smaller than the sum of its proper divisors (34186424064).

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

13762087680 is a wasteful number, since it uses less digits than its factorization.

13762087680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325842 (or 325828 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 48.

The spelling of 13762087680 in words is "thirteen billion, seven hundred sixty-two million, eighty-seven thousand, six hundred eighty".