7274753136 has 240 divisors, whose sum is σ = 25284413440. Its totient is φ = 1905431040.

The previous prime is 7274753131. The next prime is 7274753147. The reversal of 7274753136 is 6313574727.

7274753136 is a `hidden beast` number, since 72 + 7 + 47 + 531 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 7274753091 and 7274753100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7274753131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 587586 + ... + 599838.

Almost surely, 2^7274753136 is an apocalyptic number.

7274753136 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 7274753136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12642206720).

7274753136 is an abundant number, since it is smaller than the sum of its proper divisors (18009660304).

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

7274753136 is a wasteful number, since it uses less digits than its factorization.

7274753136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12324 (or 12315 counting only the distinct ones).

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

The square root of 7274753136 is about 85292.1633914863. The cubic root of 7274753136 is about 1937.6384926379.

The spelling of 7274753136 in words is "seven billion, two hundred seventy-four million, seven hundred fifty-three thousand, one hundred thirty-six".