13457678320 has 40 divisors (see below), whose sum is σ = 31303866960. Its totient is φ = 5380531200.

The previous prime is 13457678303. The next prime is 13457678323. The reversal of 13457678320 is 2387675431.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×13457678320² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13457678323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 135720 + ... + 212920.

It is an arithmetic number, because the mean of its divisors is an integer number (782596674).

Almost surely, 2^13457678320 is an apocalyptic number.

13457678320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13457678320 is an abundant number, since it is smaller than the sum of its proper divisors (17846188640).

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

13457678320 is a wasteful number, since it uses less digits than its factorization.

13457678320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79393 (or 79387 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 46.

The spelling of 13457678320 in words is "thirteen billion, four hundred fifty-seven million, six hundred seventy-eight thousand, three hundred twenty".