673964917920 has 432 divisors, whose sum is σ = 2677522885128. Its totient is φ = 153926922240.

The previous prime is 673964917919. The next prime is 673964917931. The reversal of 673964917920 is 29719469376.

673964917920 is a `hidden beast` number, since 6 + 73 + 9 + 6 + 491 + 79 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 237937132944 + 436027784976 = 487788^2 + 660324^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 112681330 + ... + 112687310.

Almost surely, 2^673964917920 is an apocalyptic number.

673964917920 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 673964917920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1338761442564).

673964917920 is an abundant number, since it is smaller than the sum of its proper divisors (2003557967208).

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

673964917920 is a wasteful number, since it uses less digits than its factorization.

673964917920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7613 (or 7595 counting only the distinct ones).

The product of its (nonzero) digits is 30862944, while the sum is 63.

The spelling of 673964917920 in words is "six hundred seventy-three billion, nine hundred sixty-four million, nine hundred seventeen thousand, nine hundred twenty".