14677770240 has 680 divisors, whose sum is σ = 60900829440. Its totient is φ = 3312451584.

The previous prime is 14677770227. The next prime is 14677770257. The reversal of 14677770240 is 4207777641.

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, 185794521 + ... + 185794599.

Almost surely, 2^14677770240 is an apocalyptic number.

14677770240 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 14677770240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30450414720).

14677770240 is an abundant number, since it is smaller than the sum of its proper divisors (46223059200).

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

14677770240 is an frugal number, since it uses more digits than its factorization.

14677770240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 460992, while the sum is 45.

The spelling of 14677770240 in words is "fourteen billion, six hundred seventy-seven million, seven hundred seventy thousand, two hundred forty".