14764067640 has 192 divisors, whose sum is σ = 56869263360. Its totient is φ = 3374628480.

The previous prime is 14764067621. The next prime is 14764067663. The reversal of 14764067640 is 4676046741.

It is a hoax number, since the sum of its digits (45) 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40456 + ... + 176535.

It is an arithmetic number, because the mean of its divisors is an integer number (296194080).

Almost surely, 2^14764067640 is an apocalyptic number.

14764067640 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 14764067640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28434631680).

14764067640 is an abundant number, since it is smaller than the sum of its proper divisors (42105195720).

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

14764067640 is a wasteful number, since it uses less digits than its factorization.

14764067640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217024 (or 217008 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 14764067640 in words is "fourteen billion, seven hundred sixty-four million, sixty-seven thousand, six hundred forty".