5370207746400 has 576 divisors, whose sum is σ = 22246576128000. Its totient is φ = 1224726773760.

The previous prime is 5370207746353. The next prime is 5370207746479. The reversal of 5370207746400 is 46477020735.

5370207746400 is a `hidden beast` number, since 5 + 37 + 0 + 207 + 7 + 4 + 6 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 67849249 + ... + 67928351.

It is an arithmetic number, because the mean of its divisors is an integer number (38622528000).

Almost surely, 2^{5370207746400} is an apocalyptic number.

5370207746400 is a gapful number since it is divisible by the number (50) 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 5370207746400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11123288064000).

5370207746400 is an abundant number, since it is smaller than the sum of its proper divisors (16876368381600).

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

5370207746400 is a wasteful number, since it uses less digits than its factorization.

5370207746400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79588 (or 79569 counting only the distinct ones).

The product of its (nonzero) digits is 987840, while the sum is 45.

The spelling of 5370207746400 in words is "five trillion, three hundred seventy billion, two hundred seven million, seven hundred forty-six thousand, four hundred".