674677454552640 has 7168 divisors, whose sum is σ = 3252417977548800. Its totient is φ = 128682055434240.

The previous prime is 674677454552597. The next prime is 674677454552701. The reversal of 674677454552640 is 46255454776476.

674677454552640 is a `hidden beast` number, since 6 + 7 + 4 + 6 + 7 + 7 + 4 + 5 + 4 + 552 + 64 + 0 = 666.

It is a super-2 number, since 2×674677454552640² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 1023 ways as a sum of consecutive naturals, for example, 6305396771467 + ... + 6305396771573.

Almost surely, 2^{674677454552640} is an apocalyptic number.

674677454552640 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 674677454552640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1626208988774400).

674677454552640 is an abundant number, since it is smaller than the sum of its proper divisors (2577740522996160).

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

674677454552640 is a wasteful number, since it uses less digits than its factorization.

674677454552640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 4741632000, while the sum is 72.

The spelling of 674677454552640 in words is "six hundred seventy-four trillion, six hundred seventy-seven billion, four hundred fifty-four million, five hundred fifty-two thousand, six hundred forty".