7963405632 has 336 divisors, whose sum is σ = 28321121920. Its totient is φ = 2083221504.

The previous prime is 7963405627. The next prime is 7963405699. The reversal of 7963405632 is 2365043697.

7963405632 is a `hidden beast` number, since 7 + 9 + 6 + 3 + 4 + 0 + 5 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

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, 7285278 + ... + 7286370.

Almost surely, 2^7963405632 is an apocalyptic number.

7963405632 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 7963405632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14160560960).

7963405632 is an abundant number, since it is smaller than the sum of its proper divisors (20357716288).

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

7963405632 is a wasteful number, since it uses less digits than its factorization.

7963405632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1270 (or 1257 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The square root of 7963405632 is about 89237.9158878108. The cubic root of 7963405632 is about 1996.9458076621.

It can be divided in two parts, 7963 and 405632, that added together give a triangular number (413595 = T₉₀₉).

The spelling of 7963405632 in words is "seven billion, nine hundred sixty-three million, four hundred five thousand, six hundred thirty-two".