7820353632 has 384 divisors, whose sum is σ = 26531463168. Its totient is φ = 1961625600.

The previous prime is 7820353613. The next prime is 7820353649. The reversal of 7820353632 is 2363530287.

It is a super-2 number, since 2×7820353632² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18144457 + ... + 18144887.

It is an arithmetic number, because the mean of its divisors is an integer number (69092352).

Almost surely, 2^7820353632 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 7820353632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13265731584).

7820353632 is an abundant number, since it is smaller than the sum of its proper divisors (18711109536).

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

7820353632 is a wasteful number, since it uses less digits than its factorization.

7820353632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 39.

The square root of 7820353632 is about 88432.7633402915. The cubic root of 7820353632 is about 1984.9159916818.

The spelling of 7820353632 in words is "seven billion, eight hundred twenty million, three hundred fifty-three thousand, six hundred thirty-two".