15747342664000 has 224 divisors, whose sum is σ = 40354131636000. Its totient is φ = 6080063897600.

The previous prime is 15747342663979. The next prime is 15747342664013. The reversal of 15747342664000 is 46624374751.

It can be written as a sum of positive squares in 16 ways, for example, as 12991238000896 + 2756104663104 = 3604336^2 + 1660152^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1153729176 + ... + 1153742824.

It is an arithmetic number, because the mean of its divisors is an integer number (180152373375).

Almost surely, 2^{15747342664000} is an apocalyptic number.

15747342664000 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 15747342664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20177065818000).

15747342664000 is an abundant number, since it is smaller than the sum of its proper divisors (24606788972000).

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

15747342664000 is a wasteful number, since it uses less digits than its factorization.

15747342664000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18678 (or 18658 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 49.

The spelling of 15747342664000 in words is "fifteen trillion, seven hundred forty-seven billion, three hundred forty-two million, six hundred sixty-four thousand".