7236104400 has 1080 divisors, whose sum is σ = 32813614080. Its totient is φ = 1463132160.

The previous prime is 7236104399. The next prime is 7236104401. The reversal of 7236104400 is 44016327.

7236104400 is a `hidden beast` number, since 7 + 2 + 3 + 610 + 4 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (7236104399) and next prime (7236104401).

It is a super-2 number, since 2×7236104400² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7236104401) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 56977137 + ... + 56977263.

It is an arithmetic number, because the mean of its divisors is an integer number (30382976).

Almost surely, 2^7236104400 is an apocalyptic number.

7236104400 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 7236104400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16406807040).

7236104400 is an abundant number, since it is smaller than the sum of its proper divisors (25577509680).

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

7236104400 is a wasteful number, since it uses less digits than its factorization.

7236104400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 7236104400 is about 85065.2949210193. The cubic root of 7236104400 is about 1934.2010202182.

The spelling of 7236104400 in words is "seven billion, two hundred thirty-six million, one hundred four thousand, four hundred".