7671136002152 has 128 divisors (see below), whose sum is σ = 16776825864960. Its totient is φ = 3220562903040.

The previous prime is 7671136002149. The next prime is 7671136002191. The reversal of 7671136002152 is 2512006311767.

It is a super-2 number, since 2×7671136002152² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 507309152 + ... + 507324272.

It is an arithmetic number, because the mean of its divisors is an integer number (131068952070).

Almost surely, 2^{7671136002152} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7671136002152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8388412932480).

7671136002152 is an abundant number, since it is smaller than the sum of its proper divisors (9105689862808).

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

7671136002152 is a wasteful number, since it uses less digits than its factorization.

7671136002152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16043 (or 16039 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 41.

The spelling of 7671136002152 in words is "seven trillion, six hundred seventy-one billion, one hundred thirty-six million, two thousand, one hundred fifty-two".