7829146738140 has 864 divisors, whose sum is σ = 29524569984000. Its totient is φ = 1539430244352.

The previous prime is 7829146738139. The next prime is 7829146738183. The reversal of 7829146738140 is 418376419287.

It is a super-2 number, since 2×7829146738140² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 869997361 + ... + 870006359.

It is an arithmetic number, because the mean of its divisors is an integer number (34171956000).

Almost surely, 2^{7829146738140} is an apocalyptic number.

7829146738140 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 7829146738140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14762284992000).

7829146738140 is an abundant number, since it is smaller than the sum of its proper divisors (21695423245860).

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

7829146738140 is a wasteful number, since it uses less digits than its factorization.

7829146738140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9171 (or 9149 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 60.

The spelling of 7829146738140 in words is "seven trillion, eight hundred twenty-nine billion, one hundred forty-six million, seven hundred thirty-eight thousand, one hundred forty".