675696470400 has 768 divisors, whose sum is σ = 2992415616000. Its totient is φ = 145357701120.

The previous prime is 675696470387. The next prime is 675696470411. The reversal of 675696470400 is 4074696576.

675696470400 is a `hidden beast` number, since 6 + 7 + 569 + 6 + 4 + 70 + 4 + 0 + 0 = 666.

It is a super-2 number, since 2×675696470400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10248741 + ... + 10314459.

It is an arithmetic number, because the mean of its divisors is an integer number (3896374500).

Almost surely, 2^675696470400 is an apocalyptic number.

675696470400 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 675696470400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1496207808000).

675696470400 is an abundant number, since it is smaller than the sum of its proper divisors (2316719145600).

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

675696470400 is a wasteful number, since it uses less digits than its factorization.

675696470400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65776 (or 65753 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 675696470400 in words is "six hundred seventy-five billion, six hundred ninety-six million, four hundred seventy thousand, four hundred".