7428661632 has 512 divisors, whose sum is σ = 26978918400. Its totient is φ = 1988665344.

The previous prime is 7428661619. The next prime is 7428661699. The reversal of 7428661632 is 2361668247.

7428661632 is a `hidden beast` number, since 7 + 4 + 2 + 8 + 6 + 6 + 1 + 632 = 666.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (580608) is a multiple of the sum of its prime divisors (252).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 33312273 + ... + 33312495.

It is an arithmetic number, because the mean of its divisors is an integer number (52693200).

Almost surely, 2^7428661632 is an apocalyptic number.

7428661632 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 7428661632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13489459200).

7428661632 is an abundant number, since it is smaller than the sum of its proper divisors (19550256768).

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

7428661632 is an equidigital number, since it uses as much as digits as its factorization.

7428661632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 252 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 7428661632 is about 86189.6840230894. The cubic root of 7428661632 is about 1951.2078103199.

The spelling of 7428661632 in words is "seven billion, four hundred twenty-eight million, six hundred sixty-one thousand, six hundred thirty-two".