7828131669120 has 1024 divisors, whose sum is σ = 32485249843200. Its totient is φ = 1744411852800.

The previous prime is 7828131669119. The next prime is 7828131669131. The reversal of 7828131669120 is 219661318287.

7828131669120 is a `hidden beast` number, since 78 + 2 + 81 + 316 + 69 + 120 = 666.

It is a super-2 number, since 2×7828131669120² (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 127 ways as a sum of consecutive naturals, for example, 1540664980 + ... + 1540670060.

It is an arithmetic number, because the mean of its divisors is an integer number (31723876800).

Almost surely, 2^{7828131669120} is an apocalyptic number.

7828131669120 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 7828131669120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16242624921600).

7828131669120 is an abundant number, since it is smaller than the sum of its proper divisors (24657118174080).

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

7828131669120 is a wasteful number, since it uses less digits than its factorization.

7828131669120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5434 (or 5416 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 7828131669120 in words is "seven trillion, eight hundred twenty-eight billion, one hundred thirty-one million, six hundred sixty-nine thousand, one hundred twenty".