675922514678400 has 3072 divisors, whose sum is σ = 2782708295270400. Its totient is φ = 142185922560000.

The previous prime is 675922514678357. The next prime is 675922514678441. The reversal of 675922514678400 is 4876415229576.

It is a Harshad number since it is a multiple of its sum of digits (66).

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 383 ways as a sum of consecutive naturals, for example, 138764627965 + ... + 138764632835.

It is an arithmetic number, because the mean of its divisors is an integer number (905829523200).

Almost surely, 2^{675922514678400} is an apocalyptic number.

675922514678400 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 675922514678400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1391354147635200).

675922514678400 is an abundant number, since it is smaller than the sum of its proper divisors (2106785780592000).

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

675922514678400 is a wasteful number, since it uses less digits than its factorization.

675922514678400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5079 (or 5062 counting only the distinct ones).

The product of its (nonzero) digits is 203212800, while the sum is 66.

The spelling of 675922514678400 in words is "six hundred seventy-five trillion, nine hundred twenty-two billion, five hundred fourteen million, six hundred seventy-eight thousand, four hundred".