76641937344 has 448 divisors, whose sum is σ = 278410009600. Its totient is φ = 20182265856.

The previous prime is 76641937343. The next prime is 76641937387. The reversal of 76641937344 is 44373914667.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76641937343) by changing a digit.

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, 8498982 + ... + 8507994.

Almost surely, 2^76641937344 is an apocalyptic number.

76641937344 is a gapful number since it is divisible by the number (74) 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 76641937344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139205004800).

76641937344 is an abundant number, since it is smaller than the sum of its proper divisors (201768072256).

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

76641937344 is a wasteful number, since it uses less digits than its factorization.

76641937344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9097 (or 9081 counting only the distinct ones).

The product of its digits is 9144576, while the sum is 54.

The spelling of 76641937344 in words is "seventy-six billion, six hundred forty-one million, nine hundred thirty-seven thousand, three hundred forty-four".