7842284049600 has 3360 divisors, whose sum is σ = 39377978314752. Its totient is φ = 1478062080000.

The previous prime is 7842284049569. The next prime is 7842284049619. The reversal of 7842284049600 is 69404822487.

7842284049600 is a `hidden beast` number, since 7 + 8 + 4 + 2 + 28 + 4 + 0 + 4 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a super-2 number, since 2×7842284049600² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 7913505105 + ... + 7913506095.

Almost surely, 2^{7842284049600} is an apocalyptic number.

7842284049600 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 7842284049600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19688989157376).

7842284049600 is an abundant number, since it is smaller than the sum of its proper divisors (31535694265152).

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

7842284049600 is a wasteful number, since it uses less digits than its factorization.

7842284049600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1117 (or 1093 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 7842284049600 in words is "seven trillion, eight hundred forty-two billion, two hundred eighty-four million, forty-nine thousand, six hundred".