7243286400 has 1152 divisors, whose sum is σ = 32621721600. Its totient is φ = 1492992000.

The previous prime is 7243286383. The next prime is 7243286411. The reversal of 7243286400 is 46823427.

7243286400 is a `hidden beast` number, since 7 + 2 + 4 + 3 + 2 + 8 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 143 ways as a sum of consecutive naturals, for example, 118742370 + ... + 118742430.

Almost surely, 2^7243286400 is an apocalyptic number.

7243286400 is a gapful number since it is divisible by the number (70) 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 7243286400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16310860800).

7243286400 is an abundant number, since it is smaller than the sum of its proper divisors (25378435200).

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

7243286400 is a wasteful number, since it uses less digits than its factorization.

7243286400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 7243286400 is about 85107.4990820433. The cubic root of 7243286400 is about 1934.8407216209.

The spelling of 7243286400 in words is "seven billion, two hundred forty-three million, two hundred eighty-six thousand, four hundred".