7261286400 has 234 divisors, whose sum is σ = 26011667240. Its totient is φ = 1936097280.

The previous prime is 7261286387. The next prime is 7261286401. The reversal of 7261286400 is 46821627.

7261286400 is a `hidden beast` number, since 7 + 2 + 6 + 1 + 2 + 8 + 640 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7261286401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 917661 + ... + 925539.

Almost surely, 2^7261286400 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 7261286400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13005833620).

7261286400 is an abundant number, since it is smaller than the sum of its proper divisors (18750380840).

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

7261286400 is a wasteful number, since it uses less digits than its factorization.

7261286400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7919 (or 7889 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 7261286400 is about 85213.1820788310. The cubic root of 7261286400 is about 1936.4421274682.

The spelling of 7261286400 in words is "seven billion, two hundred sixty-one million, two hundred eighty-six thousand, four hundred".