675451058990400 has 3024 divisors, whose sum is σ = 3151240079869440. Its totient is φ = 135548743680000.

The previous prime is 675451058990399. The next prime is 675451058990447. The reversal of 675451058990400 is 4099850154576.

675451058990400 is a `hidden beast` number, since 6 + 7 + 5 + 4 + 5 + 1 + 0 + 589 + 9 + 0 + 40 + 0 = 666.

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

It is a congruent number.

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 431 ways as a sum of consecutive naturals, for example, 130169791006 + ... + 130169796194.

Almost surely, 2^{675451058990400} is an apocalyptic number.

675451058990400 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 675451058990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1575620039934720).

675451058990400 is an abundant number, since it is smaller than the sum of its proper divisors (2475789020879040).

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

675451058990400 is a wasteful number, since it uses less digits than its factorization.

675451058990400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5814 (or 5789 counting only the distinct ones).

The product of its (nonzero) digits is 54432000, while the sum is 63.

The spelling of 675451058990400 in words is "six hundred seventy-five trillion, four hundred fifty-one billion, fifty-eight million, nine hundred ninety thousand, four hundred".