76344903613440 has 7392 divisors, whose sum is σ = 383937159352320. Its totient is φ = 14189395968000.

The previous prime is 76344903613439. The next prime is 76344903613453. The reversal of 76344903613440 is 4431630944367.

76344903613440 is a `hidden beast` number, since 7 + 63 + 4 + 490 + 3 + 61 + 34 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (7392).

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 (23) of ones.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 1862070819820 + ... + 1862070819860.

Almost surely, 2^{76344903613440} is an apocalyptic number.

76344903613440 is a gapful number since it is divisible by the number (70) 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 76344903613440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191968579676160).

76344903613440 is an abundant number, since it is smaller than the sum of its proper divisors (307592255738880).

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

76344903613440 is a wasteful number, since it uses less digits than its factorization.

76344903613440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 54.

The spelling of 76344903613440 in words is "seventy-six trillion, three hundred forty-four billion, nine hundred three million, six hundred thirteen thousand, four hundred forty".