7261151040 has 672 divisors, whose sum is σ = 30474976896. Its totient is φ = 1622384640.

The previous prime is 7261151039. The next prime is 7261151047. The reversal of 7261151040 is 401511627.

It is a happy number.

7261151040 is a `hidden beast` number, since 7 + 2 + 611 + 5 + 1 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 7261150995 and 7261151013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7261151047) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11119354 + ... + 11120006.

It is an arithmetic number, because the mean of its divisors is an integer number (45349668).

Almost surely, 2^7261151040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7261151040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15237488448).

7261151040 is an abundant number, since it is smaller than the sum of its proper divisors (23213825856).

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

7261151040 is a wasteful number, since it uses less digits than its factorization.

7261151040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 7261151040 is about 85212.3878318170. The cubic root of 7261151040 is about 1936.4300947777.

Adding to 7261151040 its reverse (401511627), we get a palindrome (7662662667).

The spelling of 7261151040 in words is "seven billion, two hundred sixty-one million, one hundred fifty-one thousand, forty".