7641132278400 has 576 divisors, whose sum is σ = 28539701779680. Its totient is φ = 2018569973760.

The previous prime is 7641132278399. The next prime is 7641132278407. The reversal of 7641132278400 is 48722311467.

7641132278400 is a `hidden beast` number, since 7 + 6 + 4 + 1 + 13 + 227 + 8 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is not an unprimeable number, because it can be changed into a prime (7641132278407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 83157282 + ... + 83249118.

Almost surely, 2^{7641132278400} 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 7641132278400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14269850889840).

7641132278400 is an abundant number, since it is smaller than the sum of its proper divisors (20898569501280).

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

7641132278400 is a wasteful number, since it uses less digits than its factorization.

7641132278400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91983 (or 91954 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

Adding to 7641132278400 its reverse (48722311467), we get a palindrome (7689854589867).

The spelling of 7641132278400 in words is "seven trillion, six hundred forty-one billion, one hundred thirty-two million, two hundred seventy-eight thousand, four hundred".