7270765632 has 448 divisors, whose sum is σ = 24783897600. Its totient is φ = 2070282240.

The previous prime is 7270765603. The next prime is 7270765633. The reversal of 7270765632 is 2365670727.

7270765632 is a `hidden beast` number, since 7 + 2 + 7 + 0 + 7 + 6 + 5 + 632 = 666.

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (7270765633) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30169032 + ... + 30169272.

It is an arithmetic number, because the mean of its divisors is an integer number (55321200).

Almost surely, 2^7270765632 is an apocalyptic number.

7270765632 is a gapful number since it is divisible by the number (72) 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 7270765632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12391948800).

7270765632 is an abundant number, since it is smaller than the sum of its proper divisors (17513131968).

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

7270765632 is a wasteful number, since it uses less digits than its factorization.

7270765632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 740880, while the sum is 45.

The square root of 7270765632 is about 85268.7846283738. The cubic root of 7270765632 is about 1937.2844025768.

The spelling of 7270765632 in words is "seven billion, two hundred seventy million, seven hundred sixty-five thousand, six hundred thirty-two".