7467216680 has 192 divisors, whose sum is σ = 22254307200. Its totient is φ = 2190274560.

The previous prime is 7467216661. The next prime is 7467216683. The reversal of 7467216680 is 866127647.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (7467216683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 885926 + ... + 894314.

It is an arithmetic number, because the mean of its divisors is an integer number (115907850).

Almost surely, 2^7467216680 is an apocalyptic number.

7467216680 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 7467216680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11127153600).

7467216680 is an abundant number, since it is smaller than the sum of its proper divisors (14787090520).

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

7467216680 is a wasteful number, since it uses less digits than its factorization.

7467216680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8452 (or 8431 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 47.

The square root of 7467216680 is about 86413.0585039090. The cubic root of 7467216680 is about 1954.5776025051.

The spelling of 7467216680 in words is "seven billion, four hundred sixty-seven million, two hundred sixteen thousand, six hundred eighty".