76758649344 has 480 divisors, whose sum is σ = 246659212800. Its totient is φ = 22831497216.

The previous prime is 76758649321. The next prime is 76758649349. The reversal of 76758649344 is 44394685767.

It is a happy number.

76758649344 is a `hidden beast` number, since 7 + 6 + 7 + 586 + 4 + 9 + 3 + 44 = 666.

Its product of digits (121927680) is a multiple of the sum of its prime factors (420).

It is not an unprimeable number, because it can be changed into a prime (76758649349) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 385721757 + ... + 385721955.

It is an arithmetic number, because the mean of its divisors is an integer number (513873360).

Almost surely, 2^76758649344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76758649344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123329606400).

76758649344 is an abundant number, since it is smaller than the sum of its proper divisors (169900563456).

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

76758649344 is a wasteful number, since it uses less digits than its factorization.

76758649344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 401 counting only the distinct ones).

The product of its digits is 121927680, while the sum is 63.

The spelling of 76758649344 in words is "seventy-six billion, seven hundred fifty-eight million, six hundred forty-nine thousand, three hundred forty-four".