766005901056 has 720 divisors, whose sum is σ = 2595406184448. Its totient is φ = 222605107200.

The previous prime is 766005901051. The next prime is 766005901057. The reversal of 766005901056 is 650109500667.

766005901056 is a `hidden beast` number, since 7 + 6 + 6 + 0 + 0 + 590 + 1 + 0 + 56 = 666.

It is a super-2 number, since 2×766005901056² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (766005901051) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 898013526 + ... + 898014378.

Almost surely, 2^766005901056 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 766005901056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1297703092224).

766005901056 is an abundant number, since it is smaller than the sum of its proper divisors (1829400283392).

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

766005901056 is a wasteful number, since it uses less digits than its factorization.

766005901056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1050 (or 1027 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The spelling of 766005901056 in words is "seven hundred sixty-six billion, five million, nine hundred one thousand, fifty-six".