667737391104 has 621 divisors, whose sum is σ = 2368279916847. Its totient is φ = 180740947968.

The previous prime is 667737391049. The next prime is 667737391121. The reversal of 667737391104 is 401193737766.

The square root of 667737391104 is 817152.

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

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 35144073207 + ... + 35144073225.

Almost surely, 2^667737391104 is an apocalyptic number.

667737391104 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

667737391104 is the 817152-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 667737391104

667737391104 is an abundant number, since it is smaller than the sum of its proper divisors (1700542525743).

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

667737391104 is an frugal number, since it uses more digits than its factorization.

667737391104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 4000752, while the sum is 54.

It can be divided in two parts, 667737 and 391104, that added together give a square (1058841 = 1029²).

The spelling of 667737391104 in words is "six hundred sixty-seven billion, seven hundred thirty-seven million, three hundred ninety-one thousand, one hundred four".