7742345538900 has 576 divisors, whose sum is σ = 27139382968320. Its totient is φ = 1666954598400.

The previous prime is 7742345538877. The next prime is 7742345538923. The reversal of 7742345538900 is 98355432477.

It is an interprime number because it is at equal distance from previous prime (7742345538877) and next prime (7742345538923).

It is a congruent number.

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, 438179266 + ... + 438196934.

It is an arithmetic number, because the mean of its divisors is an integer number (47116984320).

Almost surely, 2^{7742345538900} is an apocalyptic number.

7742345538900 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 7742345538900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13569691484160).

7742345538900 is an abundant number, since it is smaller than the sum of its proper divisors (19397037429420).

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

7742345538900 is a wasteful number, since it uses less digits than its factorization.

7742345538900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17904 (or 17897 counting only the distinct ones).

The product of its (nonzero) digits is 25401600, while the sum is 57.

The spelling of 7742345538900 in words is "seven trillion, seven hundred forty-two billion, three hundred forty-five million, five hundred thirty-eight thousand, nine hundred".