7632033036480 has 1792 divisors, whose sum is σ = 29355683020800. Its totient is φ = 1886544691200.

The previous prime is 7632033036473. The next prime is 7632033036493. The reversal of 7632033036480 is 846303302367.

7632033036480 is a `hidden beast` number, since 7 + 6 + 3 + 203 + 3 + 0 + 364 + 80 = 666.

It is a super-3 number, since 3×7632033036480³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 96608013081 + ... + 96608013159.

Almost surely, 2^{7632033036480} 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 7632033036480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14677841510400).

7632033036480 is an abundant number, since it is smaller than the sum of its proper divisors (21723649984320).

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

7632033036480 is an equidigital number, since it uses as much as digits as its factorization.

7632033036480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 45.

The spelling of 7632033036480 in words is "seven trillion, six hundred thirty-two billion, thirty-three million, thirty-six thousand, four hundred eighty".