662777912160 has 1152 divisors, whose sum is σ = 2946450124800. Its totient is φ = 139802277888.

The previous prime is 662777912129. The next prime is 662777912219. The reversal of 662777912160 is 61219777266.

662777912160 is a `hidden beast` number, since 6 + 627 + 7 + 7 + 9 + 1 + 2 + 1 + 6 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 662777912097 and 662777912106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 173364009 + ... + 173367831.

It is an arithmetic number, because the mean of its divisors is an integer number (2557682400).

Almost surely, 2^662777912160 is an apocalyptic number.

662777912160 is a gapful number since it is divisible by the number (60) 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 662777912160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1473225062400).

662777912160 is an abundant number, since it is smaller than the sum of its proper divisors (2283672212640).

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

662777912160 is a wasteful number, since it uses less digits than its factorization.

662777912160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3887 (or 3853 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 54.

The spelling of 662777912160 in words is "six hundred sixty-two billion, seven hundred seventy-seven million, nine hundred twelve thousand, one hundred sixty".