674531020800 has 1872 divisors, whose sum is σ = 3112380794880. Its totient is φ = 141947043840.

The previous prime is 674531020799. The next prime is 674531020957. The reversal of 674531020800 is 8020135476.

It is a tau number, because it is divible by the number of its divisors (1872).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1761177409 + ... + 1761177791.

Almost surely, 2^674531020800 is an apocalyptic number.

674531020800 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 674531020800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1556190397440).

674531020800 is an abundant number, since it is smaller than the sum of its proper divisors (2437849774080).

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

674531020800 is a wasteful number, since it uses less digits than its factorization.

674531020800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 674531020800 in words is "six hundred seventy-four billion, five hundred thirty-one million, twenty thousand, eight hundred".