76739540283648 has 648 divisors, whose sum is σ = 250251696484608. Its totient is φ = 22406049792000.

The previous prime is 76739540283643. The next prime is 76739540283667. The reversal of 76739540283648 is 84638204593767.

76739540283648 is a `hidden beast` number, since 7 + 6 + 7 + 3 + 9 + 540 + 2 + 8 + 36 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (76739540283643) 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, 62036814486 + ... + 62036815722.

Almost surely, 2^{76739540283648} 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 76739540283648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125125848242304).

76739540283648 is an abundant number, since it is smaller than the sum of its proper divisors (173512156200960).

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

76739540283648 is a wasteful number, since it uses less digits than its factorization.

76739540283648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1863 (or 1565 counting only the distinct ones).

The product of its (nonzero) digits is 1463132160, while the sum is 72.

The spelling of 76739540283648 in words is "seventy-six trillion, seven hundred thirty-nine billion, five hundred forty million, two hundred eighty-three thousand, six hundred forty-eight".