7464010752 has 528 divisors, whose sum is σ = 25658964864. Its totient is φ = 2064384000.

The previous prime is 7464010739. The next prime is 7464010781. The reversal of 7464010752 is 2570104647.

7464010752 is a `hidden beast` number, since 7 + 4 + 640 + 1 + 0 + 7 + 5 + 2 = 666.

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

It is a super-2 number, since 2×7464010752² (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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 105126877 + ... + 105126947.

Almost surely, 2^7464010752 is an apocalyptic number.

7464010752 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7464010752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12829482432).

7464010752 is an abundant number, since it is smaller than the sum of its proper divisors (18194954112).

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

7464010752 is a wasteful number, since it uses less digits than its factorization.

7464010752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 7464010752 is about 86394.5064920218. The cubic root of 7464010752 is about 1954.2978404325.

The spelling of 7464010752 in words is "seven billion, four hundred sixty-four million, ten thousand, seven hundred fifty-two".