7006146840 has 1152 divisors, whose sum is σ = 31789255680. Its totient is φ = 1354890240.

The previous prime is 7006146793. The next prime is 7006146853. The reversal of 7006146840 is 486416007.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 7006146795 and 7006146804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 189355302 + ... + 189355338.

It is an arithmetic number, because the mean of its divisors is an integer number (27594840).

Almost surely, 2^7006146840 is an apocalyptic number.

7006146840 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 7006146840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15894627840).

7006146840 is an abundant number, since it is smaller than the sum of its proper divisors (24783108840).

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

7006146840 is a wasteful number, since it uses less digits than its factorization.

7006146840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 7006146840 is about 83702.7289877696. The cubic root of 7006146840 is about 1913.4909466678.

The spelling of 7006146840 in words is "seven billion, six million, one hundred forty-six thousand, eight hundred forty".