673333746624 has 1568 divisors, whose sum is σ = 2705681802240. Its totient is φ = 160944537600.

The previous prime is 673333746607. The next prime is 673333746641. The reversal of 673333746624 is 426647333376.

673333746624 is a `hidden beast` number, since 6 + 7 + 3 + 3 + 3 + 3 + 7 + 4 + 6 + 624 = 666.

It is an interprime number because it is at equal distance from previous prime (673333746607) and next prime (673333746641).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 2396205364 + ... + 2396205644.

Almost surely, 2^673333746624 is an apocalyptic number.

673333746624 is a gapful number since it is divisible by the number (64) 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 673333746624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1352840901120).

673333746624 is an abundant number, since it is smaller than the sum of its proper divisors (2032348055616).

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

673333746624 is a wasteful number, since it uses less digits than its factorization.

673333746624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 356 counting only the distinct ones).

The product of its digits is 27433728, while the sum is 54.

The spelling of 673333746624 in words is "six hundred seventy-three billion, three hundred thirty-three million, seven hundred forty-six thousand, six hundred twenty-four".