8470352768400 has 840 divisors, whose sum is σ = 33179694906024. Its totient is φ = 2068391116800.

The previous prime is 8470352768389. The next prime is 8470352768447. The reversal of 8470352768400 is 48672530748.

8470352768400 is a `hidden beast` number, since 8 + 4 + 70 + 3 + 527 + 6 + 8 + 40 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 17740944 + 8470335027456 = 4212^2 + 2910384^2 .

It is a super-2 number, since 2×8470352768400² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 183393310 + ... + 183439490.

Almost surely, 2^{8470352768400} is an apocalyptic number.

8470352768400 is a gapful number since it is divisible by the number (80) 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 8470352768400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16589847453012).

8470352768400 is an abundant number, since it is smaller than the sum of its proper divisors (24709342137624).

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

8470352768400 is a wasteful number, since it uses less digits than its factorization.

8470352768400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46271 (or 46245 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 8470352768400 in words is "eight trillion, four hundred seventy billion, three hundred fifty-two million, seven hundred sixty-eight thousand, four hundred".