7466683680 has 240 divisors, whose sum is σ = 26747582400. Its totient is φ = 1961169408.

The previous prime is 7466683663. The next prime is 7466683703. The reversal of 7466683680 is 863866647.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 864021 + ... + 872619.

It is an arithmetic number, because the mean of its divisors is an integer number (111448260).

Almost surely, 2^7466683680 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 7466683680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13373791200).

7466683680 is an abundant number, since it is smaller than the sum of its proper divisors (19280898720).

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

7466683680 is a wasteful number, since it uses less digits than its factorization.

7466683680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8693 (or 8676 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The square root of 7466683680 is about 86409.9744242527. The cubic root of 7466683680 is about 1954.5310963483.

The spelling of 7466683680 in words is "seven billion, four hundred sixty-six million, six hundred eighty-three thousand, six hundred eighty".