7551133632 has 378 divisors, whose sum is σ = 26215951632. Its totient is φ = 2151588096.

The previous prime is 7551133619. The next prime is 7551133643. The reversal of 7551133632 is 2363311557.

7551133632 is a `hidden beast` number, since 7 + 5 + 5 + 1 + 13 + 3 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (378).

It is a super-2 number, since 2×7551133632² (a number of 21 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 20575113 + ... + 20575479.

Almost surely, 2^7551133632 is an apocalyptic number.

7551133632 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 7551133632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13107975816).

7551133632 is an abundant number, since it is smaller than the sum of its proper divisors (18664818000).

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

7551133632 is an frugal number, since it uses more digits than its factorization.

7551133632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 379 counting only the distinct ones).

The product of its digits is 56700, while the sum is 36.

The square root of 7551133632 is about 86897.2590591901. The cubic root of 7551133632 is about 1961.8722246558.

The spelling of 7551133632 in words is "seven billion, five hundred fifty-one million, one hundred thirty-three thousand, six hundred thirty-two".