766485601440 has 576 divisors, whose sum is σ = 2820731993856. Its totient is φ = 174207860736.

The previous prime is 766485601433. The next prime is 766485601471. The reversal of 766485601440 is 44106584667.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 73083877 + ... + 73094363.

It is an arithmetic number, because the mean of its divisors is an integer number (4897104156).

Almost surely, 2^766485601440 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 766485601440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1410365996928).

766485601440 is an abundant number, since it is smaller than the sum of its proper divisors (2054246392416).

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

766485601440 is a wasteful number, since it uses less digits than its factorization.

766485601440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10601 (or 10580 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 51.

The spelling of 766485601440 in words is "seven hundred sixty-six billion, four hundred eighty-five million, six hundred one thousand, four hundred forty".