7461827136 has 448 divisors, whose sum is σ = 25347168000. Its totient is φ = 2136637440.

The previous prime is 7461827101. The next prime is 7461827137. The reversal of 7461827136 is 6317281647.

7461827136 is a `hidden beast` number, since 7 + 4 + 618 + 27 + 1 + 3 + 6 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 7461827091 and 7461827100.

It is not an unprimeable number, because it can be changed into a prime (7461827137) 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, 16185946 + ... + 16186406.

It is an arithmetic number, because the mean of its divisors is an integer number (56578500).

Almost surely, 2^7461827136 is an apocalyptic number.

7461827136 is a gapful number since it is divisible by the number (76) 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 7461827136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12673584000).

7461827136 is an abundant number, since it is smaller than the sum of its proper divisors (17885340864).

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

7461827136 is a wasteful number, since it uses less digits than its factorization.

7461827136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547 (or 531 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 7461827136 is about 86381.8680974196. The cubic root of 7461827136 is about 1954.1072435183.

The spelling of 7461827136 in words is "seven billion, four hundred sixty-one million, eight hundred twenty-seven thousand, one hundred thirty-six".