7633132416 has 384 divisors, whose sum is σ = 27894470400. Its totient is φ = 2012055552.

The previous prime is 7633132393. The next prime is 7633132453. The reversal of 7633132416 is 6142313367.

7633132416 is a `hidden beast` number, since 7 + 633 + 1 + 3 + 2 + 4 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

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

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, 4087515 + ... + 4089381.

It is an arithmetic number, because the mean of its divisors is an integer number (72641850).

Almost surely, 2^7633132416 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 7633132416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13947235200).

7633132416 is an abundant number, since it is smaller than the sum of its proper divisors (20261337984).

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

7633132416 is a wasteful number, since it uses less digits than its factorization.

7633132416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1923 (or 1892 counting only the distinct ones).

The product of its digits is 54432, while the sum is 36.

The square root of 7633132416 is about 87367.7996518168. The cubic root of 7633132416 is about 1968.9480857197.

The spelling of 7633132416 in words is "seven billion, six hundred thirty-three million, one hundred thirty-two thousand, four hundred sixteen".