766385418240 has 1248 divisors, whose sum is σ = 3021889248000. Its totient is φ = 184117100544.

The previous prime is 766385418221. The next prime is 766385418269. The reversal of 766385418240 is 42814583667.

It is a happy number.

766385418240 is a `hidden beast` number, since 7 + 6 + 6 + 385 + 4 + 18 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (1248).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5513564091 + ... + 5513564229.

Almost surely, 2^766385418240 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 766385418240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1510944624000).

766385418240 is an abundant number, since it is smaller than the sum of its proper divisors (2255503829760).

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

766385418240 is a wasteful number, since it uses less digits than its factorization.

766385418240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 766385418240 in words is "seven hundred sixty-six billion, three hundred eighty-five million, four hundred eighteen thousand, two hundred forty".