673177866240 has 1248 divisors, whose sum is σ = 2570224140288. Its totient is φ = 149874278400.

The previous prime is 673177866239. The next prime is 673177866241. The reversal of 673177866240 is 42668771376.

It is an interprime number because it is at equal distance from previous prime (673177866239) and next prime (673177866241).

It is not an unprimeable number, because it can be changed into a prime (673177866241) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5300613057 + ... + 5300613183.

Almost surely, 2^673177866240 is an apocalyptic number.

673177866240 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 673177866240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1285112070144).

673177866240 is an abundant number, since it is smaller than the sum of its proper divisors (1897046274048).

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

673177866240 is a wasteful number, since it uses less digits than its factorization.

673177866240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 14224896, while the sum is 57.

The spelling of 673177866240 in words is "six hundred seventy-three billion, one hundred seventy-seven million, eight hundred sixty-six thousand, two hundred forty".