109792734240 has 384 divisors, whose sum is σ = 419971184640. Its totient is φ = 23551008768.

The previous prime is 109792734223. The next prime is 109792734257. The reversal of 109792734240 is 42437297901.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (109792734223) and next prime (109792734257).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 109792734240.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6822844 + ... + 6838916.

It is an arithmetic number, because the mean of its divisors is an integer number (1093674960).

Almost surely, 2^109792734240 is an apocalyptic number.

109792734240 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 109792734240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209985592320).

109792734240 is an abundant number, since it is smaller than the sum of its proper divisors (310178450400).

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

109792734240 is a wasteful number, since it uses less digits than its factorization.

109792734240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16224 (or 16216 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 48.

The spelling of 109792734240 in words is "one hundred nine billion, seven hundred ninety-two million, seven hundred thirty-four thousand, two hundred forty".