7667626012420 has 288 divisors, whose sum is σ = 19401742080000. Its totient is φ = 2531697315840.

The previous prime is 7667626012411. The next prime is 7667626012433. The reversal of 7667626012420 is 242106267667.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2556726081 + ... + 2556729079.

It is an arithmetic number, because the mean of its divisors is an integer number (67367160000).

Almost surely, 2^{7667626012420} 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 7667626012420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9700871040000).

7667626012420 is an abundant number, since it is smaller than the sum of its proper divisors (11734116067580).

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

7667626012420 is a wasteful number, since it uses less digits than its factorization.

7667626012420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5219 (or 5206 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 49.

The spelling of 7667626012420 in words is "seven trillion, six hundred sixty-seven billion, six hundred twenty-six million, twelve thousand, four hundred twenty".