7464006144 has 300 divisors, whose sum is σ = 25922388294. Its totient is φ = 2131992576.

The previous prime is 7464006133. The next prime is 7464006203. The reversal of 7464006144 is 4416004647.

7464006144 is a `hidden beast` number, since 7 + 4 + 640 + 0 + 6 + 1 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7341062400 + 122943744 = 85680^2 + 11088^2 .

It is a super-2 number, since 2×7464006144² (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 7464006099 and 7464006108.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2030292 + ... + 2033964.

Almost surely, 2^7464006144 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 7464006144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12961194147).

7464006144 is an abundant number, since it is smaller than the sum of its proper divisors (18458382150).

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

7464006144 is an equidigital number, since it uses as much as digits as its factorization.

7464006144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3717 (or 3685 counting only the distinct ones).

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

The square root of 7464006144 is about 86394.4798236554. The cubic root of 7464006144 is about 1954.2974382623.

The spelling of 7464006144 in words is "seven billion, four hundred sixty-four million, six thousand, one hundred forty-four".