7286918400 has 324 divisors, whose sum is σ = 26424498828. Its totient is φ = 1915453440.

The previous prime is 7286918383. The next prime is 7286918413. The reversal of 7286918400 is 48196827.

It can be written as a sum of positive squares in 6 ways, for example, as 133818624 + 7153099776 = 11568^2 + 84576^2 .

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 (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4203934 + ... + 4205666.

Almost surely, 2^7286918400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7286918400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13212249414).

7286918400 is an abundant number, since it is smaller than the sum of its proper divisors (19137580428).

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

7286918400 is a wasteful number, since it uses less digits than its factorization.

7286918400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1838 (or 1816 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 7286918400 is about 85363.4488525388. The cubic root of 7286918400 is about 1938.7179682861.

The spelling of 7286918400 in words is "seven billion, two hundred eighty-six million, nine hundred eighteen thousand, four hundred".