673239638016 has 896 divisors, whose sum is σ = 2366135089920. Its totient is φ = 186856243200.

The previous prime is 673239638009. The next prime is 673239638023. The reversal of 673239638016 is 610836932376.

It is an interprime number because it is at equal distance from previous prime (673239638009) and next prime (673239638023).

It is a super-2 number, since 2×673239638016² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1695817530 + ... + 1695817926.

It is an arithmetic number, because the mean of its divisors is an integer number (2640775770).

Almost surely, 2^673239638016 is an apocalyptic number.

673239638016 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 673239638016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1183067544960).

673239638016 is an abundant number, since it is smaller than the sum of its proper divisors (1692895451904).

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

673239638016 is a wasteful number, since it uses less digits than its factorization.

673239638016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 673239638016 in words is "six hundred seventy-three billion, two hundred thirty-nine million, six hundred thirty-eight thousand, sixteen".