13957764480 has 768 divisors, whose sum is σ = 56137536000. Its totient is φ = 3284582400.

The previous prime is 13957764427. The next prime is 13957764487. The reversal of 13957764480 is 8446775931.

13957764480 is a `hidden beast` number, since 1 + 3 + 9 + 577 + 64 + 4 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13957764487) 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, 70139421 + ... + 70139619.

It is an arithmetic number, because the mean of its divisors is an integer number (73095750).

Almost surely, 2^13957764480 is an apocalyptic number.

13957764480 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 13957764480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28068768000).

13957764480 is an abundant number, since it is smaller than the sum of its proper divisors (42179771520).

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

13957764480 is a wasteful number, since it uses less digits than its factorization.

13957764480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 13957764480 in words is "thirteen billion, nine hundred fifty-seven million, seven hundred sixty-four thousand, four hundred eighty".