14557676640 has 384 divisors, whose sum is σ = 53716763520. Its totient is φ = 3280601088.

The previous prime is 14557676599. The next prime is 14557676641. The reversal of 14557676640 is 4667675541.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14557676641) 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, 3923106 + ... + 3926814.

It is an arithmetic number, because the mean of its divisors is an integer number (139887405).

Almost surely, 2^14557676640 is an apocalyptic number.

14557676640 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 14557676640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26858381760).

14557676640 is an abundant number, since it is smaller than the sum of its proper divisors (39159086880).

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

14557676640 is a wasteful number, since it uses less digits than its factorization.

14557676640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3794 (or 3786 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 51.

The spelling of 14557676640 in words is "fourteen billion, five hundred fifty-seven million, six hundred seventy-six thousand, six hundred forty".