766648737792 has 1680 divisors, whose sum is σ = 3010148198640. Its totient is φ = 192631799808.

The previous prime is 766648737769. The next prime is 766648737797. The reversal of 766648737792 is 297737846667.

It is a happy number.

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 766648737792.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (766648737797) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 10502037468 + ... + 10502037540.

Almost surely, 2^766648737792 is an apocalyptic number.

766648737792 is a gapful number since it is divisible by the number (72) 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 766648737792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1505074099320).

766648737792 is an abundant number, since it is smaller than the sum of its proper divisors (2243499460848).

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

766648737792 is a wasteful number, since it uses less digits than its factorization.

766648737792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 121 counting only the distinct ones).

The product of its digits is 896168448, while the sum is 72.

The spelling of 766648737792 in words is "seven hundred sixty-six billion, six hundred forty-eight million, seven hundred thirty-seven thousand, seven hundred ninety-two".