7266153600 has 720 divisors, whose sum is σ = 28777409430. Its totient is φ = 1804861440.

The previous prime is 7266153589. The next prime is 7266153649. The reversal of 7266153600 is 63516627.

7266153600 is a `hidden beast` number, since 7 + 2 + 6 + 615 + 36 + 0 + 0 = 666.

It can be written as a sum of positive squares in 9 ways, for example, as 1798438464 + 5467715136 = 42408^2 + 73944^2 .

It is a tau number, because it is divible by the number of its divisors (720).

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 polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 74908752 + ... + 74908848.

Almost surely, 2^7266153600 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 7266153600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14388704715).

7266153600 is an abundant number, since it is smaller than the sum of its proper divisors (21511255830).

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

7266153600 is a wasteful number, since it uses less digits than its factorization.

7266153600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 7266153600 is about 85241.7362563668. The cubic root of 7266153600 is about 1936.8746929731.

The spelling of 7266153600 in words is "seven billion, two hundred sixty-six million, one hundred fifty-three thousand, six hundred".