1772728624260 has 576 divisors, whose sum is σ = 6247777536000. Its totient is φ = 402355537920.

The previous prime is 1772728624259. The next prime is 1772728624301. The reversal of 1772728624260 is 624268272771.

1772728624260 is a `hidden beast` number, since 1 + 7 + 7 + 2 + 7 + 2 + 8 + 624 + 2 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1772728624197 and 1772728624206.

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, 1375273696 + ... + 1375274984.

It is an arithmetic number, because the mean of its divisors is an integer number (10846836000).

Almost surely, 2^{1772728624260} is an apocalyptic number.

1772728624260 is a gapful number since it is divisible by the number (10) 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 1772728624260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3123888768000).

1772728624260 is an abundant number, since it is smaller than the sum of its proper divisors (4475048911740).

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

1772728624260 is a wasteful number, since it uses less digits than its factorization.

1772728624260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1736 (or 1731 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 54.

The spelling of 1772728624260 in words is "one trillion, seven hundred seventy-two billion, seven hundred twenty-eight million, six hundred twenty-four thousand, two hundred sixty".