7261364880 has 960 divisors, whose sum is σ = 32456256000. Its totient is φ = 1508855040.

The previous prime is 7261364867. The next prime is 7261364917. The reversal of 7261364880 is 884631627.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 660124075 + ... + 660124085.

It is an arithmetic number, because the mean of its divisors is an integer number (33808600).

Almost surely, 2^7261364880 is an apocalyptic number.

7261364880 is a gapful number since it is divisible by the number (70) 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 7261364880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16228128000).

7261364880 is an abundant number, since it is smaller than the sum of its proper divisors (25194891120).

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

7261364880 is an equidigital number, since it uses as much as digits as its factorization.

7261364880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 7261364880 is about 85213.6425697200. The cubic root of 7261364880 is about 1936.4491038000.

The spelling of 7261364880 in words is "seven billion, two hundred sixty-one million, three hundred sixty-four thousand, eight hundred eighty".