674576034532400 has 720 divisors, whose sum is σ = 2241546062370048. Its totient is φ = 191745388800000.

The previous prime is 674576034532373. The next prime is 674576034532501. The reversal of 674576034532400 is 4235430675476.

It is a super-3 number, since 3×674576034532400³ (a number of 45 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 231182525 + ... + 234082275.

Almost surely, 2^{674576034532400} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 674576034532400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1120773031185024).

674576034532400 is an abundant number, since it is smaller than the sum of its proper divisors (1566970027837648).

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

674576034532400 is a wasteful number, since it uses less digits than its factorization.

674576034532400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2899890 (or 2899872 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 56.

The spelling of 674576034532400 in words is "six hundred seventy-four trillion, five hundred seventy-six billion, thirty-four million, five hundred thirty-two thousand, four hundred".