673754657940 has 720 divisors, whose sum is σ = 2763017212032. Its totient is φ = 135969394176.

The previous prime is 673754657923. The next prime is 673754657941. The reversal of 673754657940 is 49756457376.

It is a happy number.

673754657940 is a `hidden beast` number, since 6 + 7 + 3 + 7 + 54 + 6 + 579 + 4 + 0 = 666.

673754657940 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (673754657941) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 23720427 + ... + 23748813.

Almost surely, 2^673754657940 is an apocalyptic number.

673754657940 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 673754657940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1381508606016).

673754657940 is an abundant number, since it is smaller than the sum of its proper divisors (2089262554092).

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

673754657940 is a wasteful number, since it uses less digits than its factorization.

673754657940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28458 (or 28440 counting only the distinct ones).

The product of its (nonzero) digits is 133358400, while the sum is 63.

The spelling of 673754657940 in words is "six hundred seventy-three billion, seven hundred fifty-four million, six hundred fifty-seven thousand, nine hundred forty".