673813958400 has 1620 divisors, whose sum is σ = 2865500033760. Its totient is φ = 150469017600.

The previous prime is 673813958387. The next prime is 673813958423. The reversal of 673813958400 is 4859318376.

673813958400 is a `hidden beast` number, since 6 + 73 + 81 + 3 + 95 + 8 + 400 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 14336467177 + ... + 14336467223.

Almost surely, 2^673813958400 is an apocalyptic number.

673813958400 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 673813958400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1432750016880).

673813958400 is an abundant number, since it is smaller than the sum of its proper divisors (2191686075360).

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

673813958400 is a wasteful number, since it uses less digits than its factorization.

673813958400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 673813958400 in words is "six hundred seventy-three billion, eight hundred thirteen million, nine hundred fifty-eight thousand, four hundred".