7632641802240 has 1440 divisors, whose sum is σ = 33594972284160. Its totient is φ = 1609851469824.

The previous prime is 7632641802239. The next prime is 7632641802271. The reversal of 7632641802240 is 422081462367.

It is a happy number.

7632641802240 is a `hidden beast` number, since 7 + 6 + 3 + 2 + 6 + 418 + 0 + 224 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-3 number, since 3×7632641802240³ (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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2616605262 + ... + 2616608178.

It is an arithmetic number, because the mean of its divisors is an integer number (23329841864).

Almost surely, 2^{7632641802240} is an apocalyptic number.

7632641802240 is a gapful number since it is divisible by the number (70) 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 7632641802240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16797486142080).

7632641802240 is an abundant number, since it is smaller than the sum of its proper divisors (25962330481920).

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

7632641802240 is a wasteful number, since it uses less digits than its factorization.

7632641802240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2992 (or 2947 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 7632641802240 in words is "seven trillion, six hundred thirty-two billion, six hundred forty-one million, eight hundred two thousand, two hundred forty".