675982719098400 has 288 divisors, whose sum is σ = 2518202523473280. Its totient is φ = 154292405944320.

The previous prime is 675982719098387. The next prime is 675982719098437. The reversal of 675982719098400 is 4890917289576.

It is a Harshad number since it is a multiple of its sum of digits (75).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16464729 + ... + 40287128.

It is an arithmetic number, because the mean of its divisors is an integer number (8743758762060).

Almost surely, 2^{675982719098400} is an apocalyptic number.

675982719098400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

675982719098400 is an abundant number, since it is smaller than the sum of its proper divisors (1842219804374880).

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

675982719098400 is a wasteful number, since it uses less digits than its factorization.

675982719098400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56752596 (or 56752583 counting only the distinct ones).

The product of its (nonzero) digits is 548674560, while the sum is 75.

The spelling of 675982719098400 in words is "six hundred seventy-five trillion, nine hundred eighty-two billion, seven hundred nineteen million, ninety-eight thousand, four hundred".