7643141440 has 56 divisors (see below), whose sum is σ = 19854806112. Its totient is φ = 2779322880.

The previous prime is 7643141437. The next prime is 7643141447. The reversal of 7643141440 is 441413467.

It is a super-2 number, since 2×7643141440² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 7643141396 and 7643141405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7643141447) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1082154 + ... + 1089193.

Almost surely, 2^7643141440 is an apocalyptic number.

It is an amenable number.

7643141440 is an abundant number, since it is smaller than the sum of its proper divisors (12211664672).

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

7643141440 is a wasteful number, since it uses less digits than its factorization.

7643141440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2171375 (or 2171365 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 34.

The square root of 7643141440 is about 87425.0618529950. The cubic root of 7643141440 is about 1969.8083110315.

The spelling of 7643141440 in words is "seven billion, six hundred forty-three million, one hundred forty-one thousand, four hundred forty".