7242633600 has 192 divisors, whose sum is σ = 24438592080. Its totient is φ = 1884160000.

The previous prime is 7242633583. The next prime is 7242633631. The reversal of 7242633600 is 63362427.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 384400 + ... + 402800.

Almost surely, 2^7242633600 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 7242633600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12219296040).

7242633600 is an abundant number, since it is smaller than the sum of its proper divisors (17195958480).

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

7242633600 is a wasteful number, since it uses less digits than its factorization.

7242633600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18469 (or 18452 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 33.

The square root of 7242633600 is about 85103.6638459238. The cubic root of 7242633600 is about 1934.7825941403.

The spelling of 7242633600 in words is "seven billion, two hundred forty-two million, six hundred thirty-three thousand, six hundred".