667799496100 has 729 divisors, whose sum is σ = 1866808876611. Its totient is φ = 207108633600.

The previous prime is 667799496061. The next prime is 667799496127. The reversal of 667799496100 is 1694997766.

The square root of 667799496100 is 817190.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 15620500324 + 652178995776 = 124982^2 + 807576^2 .

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 29034760689 + ... + 29034760711.

Almost surely, 2^667799496100 is an apocalyptic number.

667799496100 is the 817190-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 667799496100

667799496100 is an abundant number, since it is smaller than the sum of its proper divisors (1199009380511).

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

667799496100 is a wasteful number, since it uses less digits than its factorization.

667799496100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 30862944, while the sum is 64.

Multiplying 667799496100 by its sum of digits (64), we get a square (42739167750400 = 6537520²).

The spelling of 667799496100 in words is "six hundred sixty-seven billion, seven hundred ninety-nine million, four hundred ninety-six thousand, one hundred".