766164556080 has 2880 divisors, whose sum is σ = 3688297267200. Its totient is φ = 144111052800.

The previous prime is 766164556067. The next prime is 766164556121. The reversal of 766164556080 is 80655461667.

766164556080 is a `hidden beast` number, since 7 + 6 + 6 + 1 + 6 + 4 + 556 + 0 + 80 = 666.

766164556080 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 9698285481 + ... + 9698285559.

Almost surely, 2^766164556080 is an apocalyptic number.

766164556080 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 766164556080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1844148633600).

766164556080 is an abundant number, since it is smaller than the sum of its proper divisors (2922132711120).

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

766164556080 is a wasteful number, since it uses less digits than its factorization.

766164556080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 766164556080 in words is "seven hundred sixty-six billion, one hundred sixty-four million, five hundred fifty-six thousand, eighty".