7201079534460 has 192 divisors, whose sum is σ = 23538640269312. Its totient is φ = 1610605215744.

The previous prime is 7201079534459. The next prime is 7201079534491. The reversal of 7201079534460 is 644359701027.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 101684824 + ... + 101755616.

It is an arithmetic number, because the mean of its divisors is an integer number (122597084736).

Almost surely, 2^{7201079534460} is an apocalyptic number.

7201079534460 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 7201079534460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11769320134656).

7201079534460 is an abundant number, since it is smaller than the sum of its proper divisors (16337560734852).

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

7201079534460 is a wasteful number, since it uses less digits than its factorization.

7201079534460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76012 (or 76010 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 48.

The spelling of 7201079534460 in words is "seven trillion, two hundred one billion, seventy-nine million, five hundred thirty-four thousand, four hundred sixty".