15468993792 has 720 divisors, whose sum is σ = 56983449600. Its totient is φ = 4075868160.

The previous prime is 15468993779. The next prime is 15468993797. The reversal of 15468993792 is 29739986451.

15468993792 is a `hidden beast` number, since 1 + 546 + 89 + 9 + 3 + 7 + 9 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15468993797) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 195810009 + ... + 195810087.

It is an arithmetic number, because the mean of its divisors is an integer number (79143680).

Almost surely, 2^15468993792 is an apocalyptic number.

15468993792 is a gapful number since it is divisible by the number (12) 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 15468993792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28491724800).

15468993792 is an abundant number, since it is smaller than the sum of its proper divisors (41514455808).

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

15468993792 is an equidigital number, since it uses as much as digits as its factorization.

15468993792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 181 counting only the distinct ones).

The product of its digits is 29393280, while the sum is 63.

The spelling of 15468993792 in words is "fifteen billion, four hundred sixty-eight million, nine hundred ninety-three thousand, seven hundred ninety-two".