766256436000 has 960 divisors, whose sum is σ = 3248823561984. Its totient is φ = 174818304000.

The previous prime is 766256435981. The next prime is 766256436067. The reversal of 766256436000 is 634652667.

It is a super-2 number, since 2×766256436000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 60581677 + ... + 60594323.

Almost surely, 2^766256436000 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 766256436000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1624411780992).

766256436000 is an abundant number, since it is smaller than the sum of its proper divisors (2482567125984).

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

766256436000 is a wasteful number, since it uses less digits than its factorization.

766256436000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12712 (or 12685 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 766256436000 in words is "seven hundred sixty-six billion, two hundred fifty-six million, four hundred thirty-six thousand".