8746358400 has 576 divisors, whose sum is σ = 34718760000. Its totient is φ = 2149355520.

The previous prime is 8746358399. The next prime is 8746358503. The reversal of 8746358400 is 48536478.

8746358400 is a `hidden beast` number, since 8 + 7 + 4 + 63 + 584 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×8746358400² (a number of 21 digits) contains 22 as substring.

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14601301 + ... + 14601899.

It is an arithmetic number, because the mean of its divisors is an integer number (60275625).

Almost surely, 2^8746358400 is an apocalyptic number.

8746358400 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 8746358400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17359380000).

8746358400 is an abundant number, since it is smaller than the sum of its proper divisors (25972401600).

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

8746358400 is a wasteful number, since it uses less digits than its factorization.

8746358400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 8746358400 is about 93521.9674728884. The cubic root of 8746358400 is about 2060.3567421888.

The spelling of 8746358400 in words is "eight billion, seven hundred forty-six million, three hundred fifty-eight thousand, four hundred".