7466022720 has 280 divisors, whose sum is σ = 28602166824. Its totient is φ = 1837707264.

The previous prime is 7466022713. The next prime is 7466022721. The reversal of 7466022720 is 272206647.

7466022720 is a `hidden beast` number, since 7 + 4 + 6 + 602 + 27 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 752514624 + 6713508096 = 27432^2 + 81936^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7466022721) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 325882 + ... + 348038.

Almost surely, 2^7466022720 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 7466022720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14301083412).

7466022720 is an abundant number, since it is smaller than the sum of its proper divisors (21136144104).

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

7466022720 is a wasteful number, since it uses less digits than its factorization.

7466022720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22199 (or 22180 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 7466022720 is about 86406.1497811354. The cubic root of 7466022720 is about 1954.4734221496.

The spelling of 7466022720 in words is "seven billion, four hundred sixty-six million, twenty-two thousand, seven hundred twenty".