766463040000 has 3200 divisors, whose sum is σ = 3681621504000. Its totient is φ = 153280512000.

The previous prime is 766463039999. The next prime is 766463040047. The reversal of 766463040000 is 40364667.

766463040000 is a `hidden beast` number, since 7 + 6 + 646 + 3 + 0 + 4 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3200).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 26429759986 + ... + 26429760014.

It is an arithmetic number, because the mean of its divisors is an integer number (1150506720).

Almost surely, 2^766463040000 is an apocalyptic number.

766463040000 is a gapful number since it is divisible by the number (70) 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 766463040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1840810752000).

766463040000 is an abundant number, since it is smaller than the sum of its proper divisors (2915158464000).

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

766463040000 is a wasteful number, since it uses less digits than its factorization.

766463040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 766463040000 in words is "seven hundred sixty-six billion, four hundred sixty-three million, forty thousand".