7240634646 has 256 divisors, whose sum is σ = 18966528000. Its totient is φ = 1832979456.

The previous prime is 7240634641. The next prime is 7240634659. The reversal of 7240634646 is 6464360427.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 7240634598 and 7240634607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7240634641) 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 127 ways as a sum of consecutive naturals, for example, 74645670 + ... + 74645766.

It is an arithmetic number, because the mean of its divisors is an integer number (74088000).

Almost surely, 2^7240634646 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7240634646, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9483264000).

7240634646 is an abundant number, since it is smaller than the sum of its proper divisors (11725893354).

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

7240634646 is a wasteful number, since it uses less digits than its factorization.

7240634646 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 42.

The square root of 7240634646 is about 85091.9188054894. The cubic root of 7240634646 is about 1934.6045789097.

The spelling of 7240634646 in words is "seven billion, two hundred forty million, six hundred thirty-four thousand, six hundred forty-six".