667116516780 has 672 divisors, whose sum is σ = 2614218163200. Its totient is φ = 139465234944.

The previous prime is 667116516763. The next prime is 667116516817. The reversal of 667116516780 is 87615611766.

667116516780 is a `hidden beast` number, since 6 + 6 + 7 + 116 + 516 + 7 + 8 + 0 = 666.

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 223 ways as a sum of consecutive naturals, for example, 56229129 + ... + 56240991.

It is an arithmetic number, because the mean of its divisors is an integer number (3890205600).

Almost surely, 2^667116516780 is an apocalyptic number.

667116516780 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 667116516780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1307109081600).

667116516780 is an abundant number, since it is smaller than the sum of its proper divisors (1947101646420).

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

667116516780 is a wasteful number, since it uses less digits than its factorization.

667116516780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11945 (or 11928 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 667116516780 in words is "six hundred sixty-seven billion, one hundred sixteen million, five hundred sixteen thousand, seven hundred eighty".