9270049536 has 864 divisors, whose sum is σ = 34284257280. Its totient is φ = 2463436800.

The previous prime is 9270049531. The next prime is 9270049541. The reversal of 9270049536 is 6359400729.

It is a happy number.

9270049536 is a `hidden beast` number, since 9 + 2 + 70 + 0 + 49 + 536 = 666.

It is an interprime number because it is at equal distance from previous prime (9270049531) and next prime (9270049541).

It is a tau number, because it is divible by the number of its divisors (864).

It is a junction number, because it is equal to n+sod(n) for n = 9270049491 and 9270049500.

It is not an unprimeable number, because it can be changed into a prime (9270049531) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 299033841 + ... + 299033871.

Almost surely, 2^9270049536 is an apocalyptic number.

9270049536 is a gapful number since it is divisible by the number (96) 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 9270049536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17142128640).

9270049536 is an abundant number, since it is smaller than the sum of its proper divisors (25014207744).

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

9270049536 is a wasteful number, since it uses less digits than its factorization.

9270049536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 9270049536 is about 96281.0964623897. The cubic root of 9270049536 is about 2100.6837936482.

The spelling of 9270049536 in words is "nine billion, two hundred seventy million, forty-nine thousand, five hundred thirty-six".