7261934064 has 720 divisors, whose sum is σ = 27073267200. Its totient is φ = 1660538880.

The previous prime is 7261933999. The next prime is 7261934087. The reversal of 7261934064 is 4604391627.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 91923177 + ... + 91923255.

It is an arithmetic number, because the mean of its divisors is an integer number (37601760).

Almost surely, 2^7261934064 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 7261934064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13536633600).

7261934064 is an abundant number, since it is smaller than the sum of its proper divisors (19811333136).

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

7261934064 is a wasteful number, since it uses less digits than its factorization.

7261934064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The square root of 7261934064 is about 85216.9822511922. The cubic root of 7261934064 is about 1936.4996988359.

The spelling of 7261934064 in words is "seven billion, two hundred sixty-one million, nine hundred thirty-four thousand, sixty-four".