7646871264480 has 480 divisors, whose sum is σ = 30903161446080. Its totient is φ = 1744411852800.

The previous prime is 7646871264437. The next prime is 7646871264491. The reversal of 7646871264480 is 844621786467.

7646871264480 is a `hidden beast` number, since 7 + 6 + 4 + 6 + 87 + 12 + 64 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 46093680 + ... + 46259280.

It is an arithmetic number, because the mean of its divisors is an integer number (64381586346).

Almost surely, 2^{7646871264480} is an apocalyptic number.

7646871264480 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 7646871264480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15451580723040).

7646871264480 is an abundant number, since it is smaller than the sum of its proper divisors (23256290181600).

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

7646871264480 is a wasteful number, since it uses less digits than its factorization.

7646871264480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166144 (or 166127 counting only the distinct ones).

The product of its (nonzero) digits is 86704128, while the sum is 63.

The spelling of 7646871264480 in words is "seven trillion, six hundred forty-six billion, eight hundred seventy-one million, two hundred sixty-four thousand, four hundred eighty".