7147649671680 has 320 divisors, whose sum is σ = 26607184674048. Its totient is φ = 1602922414080.

The previous prime is 7147649671633. The next prime is 7147649671699. The reversal of 7147649671680 is 861769467417.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-3 number, since 3×7147649671680³ (a number of 40 digits) contains 333 as substring.

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 31 ways as a sum of consecutive naturals, for example, 1594990 + ... + 4103570.

Almost surely, 2^{7147649671680} is an apocalyptic number.

7147649671680 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 7147649671680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13303592337024).

7147649671680 is an abundant number, since it is smaller than the sum of its proper divisors (19459535002368).

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

7147649671680 is a wasteful number, since it uses less digits than its factorization.

7147649671680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2508667 (or 2508651 counting only the distinct ones).

The product of its (nonzero) digits is 85349376, while the sum is 66.

The spelling of 7147649671680 in words is "seven trillion, one hundred forty-seven billion, six hundred forty-nine million, six hundred seventy-one thousand, six hundred eighty".