7084357130340 has 960 divisors, whose sum is σ = 27223433233920. Its totient is φ = 1505413693440.

The previous prime is 7084357130309. The next prime is 7084357130359. The reversal of 7084357130340 is 430317534807.

7084357130340 is a `hidden beast` number, since 7 + 0 + 8 + 4 + 3 + 571 + 30 + 3 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 6457936672 + ... + 6457937768.

It is an arithmetic number, because the mean of its divisors is an integer number (28357742952).

Almost surely, 2^{7084357130340} is an apocalyptic number.

7084357130340 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 7084357130340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13611716616960).

7084357130340 is an abundant number, since it is smaller than the sum of its proper divisors (20139076103580).

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

7084357130340 is a wasteful number, since it uses less digits than its factorization.

7084357130340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1522 (or 1511 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 7084357130340 in words is "seven trillion, eighty-four billion, three hundred fifty-seven million, one hundred thirty thousand, three hundred forty".