116736787440 has 320 divisors, whose sum is σ = 494884992000. Its totient is φ = 24630137856.

The previous prime is 116736787421. The next prime is 116736787471. The reversal of 116736787440 is 44787637611.

It is a happy number.

116736787440 is a `hidden beast` number, since 1 + 1 + 67 + 3 + 67 + 87 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 100390 + ... + 493509.

It is an arithmetic number, because the mean of its divisors is an integer number (1546515600).

Almost surely, 2^116736787440 is an apocalyptic number.

116736787440 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 116736787440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247442496000).

116736787440 is an abundant number, since it is smaller than the sum of its proper divisors (378148204560).

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

116736787440 is a wasteful number, since it uses less digits than its factorization.

116736787440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593941 (or 593929 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The spelling of 116736787440 in words is "one hundred sixteen billion, seven hundred thirty-six million, seven hundred eighty-seven thousand, four hundred forty".