76649151744 has 648 divisors, whose sum is σ = 267176145600. Its totient is φ = 21824225280.

The previous prime is 76649151679. The next prime is 76649151749. The reversal of 76649151744 is 44715194667.

It is a happy number.

76649151744 is a `hidden beast` number, since 7 + 66 + 491 + 51 + 7 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76649151749) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 127961557 + ... + 127962155.

Almost surely, 2^76649151744 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 76649151744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133588072800).

76649151744 is an abundant number, since it is smaller than the sum of its proper divisors (190526993856).

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

76649151744 is a wasteful number, since it uses less digits than its factorization.

76649151744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669 (or 632 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 54.

The spelling of 76649151744 in words is "seventy-six billion, six hundred forty-nine million, one hundred fifty-one thousand, seven hundred forty-four".