7641145276400 has 30 divisors (see below), whose sum is σ = 18357851527512. Its totient is φ = 3056458110400.

The previous prime is 7641145276363. The next prime is 7641145276409. The reversal of 7641145276400 is 46725411467.

It is a super-2 number, since 2×7641145276400² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7641145276409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9551431196 + ... + 9551431995.

Almost surely, 2^{7641145276400} is an apocalyptic number.

It is an amenable number.

7641145276400 is an abundant number, since it is smaller than the sum of its proper divisors (10716706251112).

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

7641145276400 is a wasteful number, since it uses less digits than its factorization.

7641145276400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19102863209 (or 19102863198 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 47.

The spelling of 7641145276400 in words is "seven trillion, six hundred forty-one billion, one hundred forty-five million, two hundred seventy-six thousand, four hundred".