667028736 has 288 divisors, whose sum is σ = 2229104640. Its totient is φ = 194918400.

The previous prime is 667028701. The next prime is 667028743. The reversal of 667028736 is 637820766.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 667028691 and 667028700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2356851 + ... + 2357133.

Almost surely, 2^667028736 is an apocalyptic number.

667028736 is a gapful number since it is divisible by the number (66) 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 667028736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1114552320).

667028736 is an abundant number, since it is smaller than the sum of its proper divisors (1562075904).

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

667028736 is a wasteful number, since it uses less digits than its factorization.

667028736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 667028736 is about 25826.8994654798. The cubic root of 667028736 is about 873.7385844628.

The spelling of 667028736 in words is "six hundred sixty-seven million, twenty-eight thousand, seven hundred thirty-six".