9007742700 has 504 divisors, whose sum is σ = 32787901440. Its totient is φ = 2128291200.

The previous prime is 9007742659. The next prime is 9007742741. The reversal of 9007742700 is 72477009.

It is an interprime number because it is at equal distance from previous prime (9007742659) and next prime (9007742741).

It is a super-2 number, since 2×9007742700² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 37689181 + ... + 37689419.

It is an arithmetic number, because the mean of its divisors is an integer number (65055360).

Almost surely, 2^9007742700 is an apocalyptic number.

9007742700 is a gapful number since it is divisible by the number (90) 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 9007742700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16393950720).

9007742700 is an abundant number, since it is smaller than the sum of its proper divisors (23780158740).

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

9007742700 is a wasteful number, since it uses less digits than its factorization.

9007742700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 36.

The square root of 9007742700 is about 94909.1286441931. The cubic root of 9007742700 is about 2080.6801507820.

The spelling of 9007742700 in words is "nine billion, seven million, seven hundred forty-two thousand, seven hundred".