7634006352 has 630 divisors, whose sum is σ = 27961810218. Its totient is φ = 2010500352.

The previous prime is 7634006329. The next prime is 7634006377. The reversal of 7634006352 is 2536004367.

It can be written as a sum of positive squares in only one way, i.e., 7427681856 + 206324496 = 86184^2 + 14364^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 206324478 + ... + 206324514.

Almost surely, 2^7634006352 is an apocalyptic number.

7634006352 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 7634006352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13980905109).

7634006352 is an abundant number, since it is smaller than the sum of its proper divisors (20327803866).

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

7634006352 is a wasteful number, since it uses less digits than its factorization.

7634006352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The square root of 7634006352 is about 87372.8009852036. The cubic root of 7634006352 is about 1969.0232260795.

The spelling of 7634006352 in words is "seven billion, six hundred thirty-four million, six thousand, three hundred fifty-two".