7242509376 has 420 divisors, whose sum is σ = 23794262800. Its totient is φ = 2171930112.

The previous prime is 7242509363. The next prime is 7242509377. The reversal of 7242509376 is 6739052427.

7242509376 is a `hidden beast` number, since 7 + 24 + 250 + 9 + 376 = 666.

It is a super-2 number, since 2×7242509376² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7242509377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 52104315 + ... + 52104453.

Almost surely, 2^7242509376 is an apocalyptic number.

7242509376 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 7242509376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11897131400).

7242509376 is an abundant number, since it is smaller than the sum of its proper divisors (16551753424).

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

7242509376 is a wasteful number, since it uses less digits than its factorization.

7242509376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 7242509376 is about 85102.9340034760. The cubic root of 7242509376 is about 1934.7715324271.

The spelling of 7242509376 in words is "seven billion, two hundred forty-two million, five hundred nine thousand, three hundred seventy-six".