7450746336 has 480 divisors, whose sum is σ = 25974144000. Its totient is φ = 2069971200.

The previous prime is 7450746311. The next prime is 7450746337. The reversal of 7450746336 is 6336470547.

7450746336 is a `hidden beast` number, since 7 + 4 + 5 + 0 + 7 + 4 + 633 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 7450746291 and 7450746300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7450746337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 240346641 + ... + 240346671.

It is an arithmetic number, because the mean of its divisors is an integer number (54112800).

Almost surely, 2^7450746336 is an apocalyptic number.

7450746336 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 7450746336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12987072000).

7450746336 is an abundant number, since it is smaller than the sum of its proper divisors (18523397664).

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

7450746336 is a wasteful number, since it uses less digits than its factorization.

7450746336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 45.

The square root of 7450746336 is about 86317.7058082523. The cubic root of 7450746336 is about 1953.1394823941.

The spelling of 7450746336 in words is "seven billion, four hundred fifty million, seven hundred forty-six thousand, three hundred thirty-six".