675979952400 has 405 divisors, whose sum is σ = 2391735615087. Its totient is φ = 176801587200.

The previous prime is 675979952371. The next prime is 675979952419. The reversal of 675979952400 is 4259979576.

The square root of 675979952400 is 822180.

It is a perfect power (a square), and thus also a powerful number.

675979952400 is a `hidden beast` number, since 6 + 7 + 5 + 97 + 99 + 52 + 400 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 108717916176 + 567262036224 = 329724^2 + 753168^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3502486704 + ... + 3502486896.

Almost surely, 2^675979952400 is an apocalyptic number.

675979952400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

675979952400 is the 822180-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 675979952400

675979952400 is an abundant number, since it is smaller than the sum of its proper divisors (1715755662687).

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

675979952400 is a wasteful number, since it uses less digits than its factorization.

675979952400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 42865200, while the sum is 63.

The spelling of 675979952400 in words is "six hundred seventy-five billion, nine hundred seventy-nine million, nine hundred fifty-two thousand, four hundred".