7742193841620 has 240 divisors, whose sum is σ = 27762847609728. Its totient is φ = 1769284166400.

The previous prime is 7742193841597. The next prime is 7742193841631. The reversal of 7742193841620 is 261483912477.

7742193841620 is a `hidden beast` number, since 7 + 7 + 4 + 2 + 1 + 9 + 3 + 8 + 4 + 1 + 620 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 57778419 + ... + 57912261.

Almost surely, 2^{7742193841620} is an apocalyptic number.

7742193841620 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 7742193841620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13881423804864).

7742193841620 is an abundant number, since it is smaller than the sum of its proper divisors (20020653768108).

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

7742193841620 is a wasteful number, since it uses less digits than its factorization.

7742193841620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138972 (or 138961 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 7742193841620 in words is "seven trillion, seven hundred forty-two billion, one hundred ninety-three million, eight hundred forty-one thousand, six hundred twenty".