7671866484240 has 800 divisors, whose sum is σ = 31107541132800. Its totient is φ = 1751649629184.

The previous prime is 7671866484223. The next prime is 7671866484251. The reversal of 7671866484240 is 424846681767.

7671866484240 is a `hidden beast` number, since 7 + 6 + 71 + 8 + 66 + 484 + 24 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3429532402 + ... + 3429534638.

It is an arithmetic number, because the mean of its divisors is an integer number (38884426416).

Almost surely, 2^{7671866484240} is an apocalyptic number.

7671866484240 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 7671866484240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15553770566400).

7671866484240 is an abundant number, since it is smaller than the sum of its proper divisors (23435674648560).

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

7671866484240 is a wasteful number, since it uses less digits than its factorization.

7671866484240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3826 (or 3797 counting only the distinct ones).

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

The spelling of 7671866484240 in words is "seven trillion, six hundred seventy-one billion, eight hundred sixty-six million, four hundred eighty-four thousand, two hundred forty".