7466662120 has 64 divisors (see below), whose sum is σ = 17056947600. Its totient is φ = 2941255680.

The previous prime is 7466662087. The next prime is 7466662127. The reversal of 7466662120 is 212666647.

It can be written as a sum of positive squares in 8 ways, for example, as 3938064516 + 3528597604 = 62754^2 + 59402^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (7466662127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 910840 + ... + 919000.

Almost surely, 2^7466662120 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 7466662120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8528473800).

7466662120 is an abundant number, since it is smaller than the sum of its proper divisors (9590285480).

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

7466662120 is a wasteful number, since it uses less digits than its factorization.

7466662120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8518 (or 8514 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 40.

The square root of 7466662120 is about 86409.8496700463. The cubic root of 7466662120 is about 1954.5292151146.

The spelling of 7466662120 in words is "seven billion, four hundred sixty-six million, six hundred sixty-two thousand, one hundred twenty".