7612222464 has 528 divisors, whose sum is σ = 29061766656. Its totient is φ = 1857945600.

The previous prime is 7612222463. The next prime is 7612222477. The reversal of 7612222464 is 4642222167.

7612222464 is a `hidden beast` number, since 76 + 122 + 2 + 2 + 464 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7612222463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12063429 + ... + 12064059.

Almost surely, 2^7612222464 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 7612222464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14530883328).

7612222464 is an abundant number, since it is smaller than the sum of its proper divisors (21449544192).

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

7612222464 is a wasteful number, since it uses less digits than its factorization.

7612222464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692 (or 671 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 7612222464 is about 87248.0513478668. The cubic root of 7612222464 is about 1967.1485509704.

The spelling of 7612222464 in words is "seven billion, six hundred twelve million, two hundred twenty-two thousand, four hundred sixty-four".