7631622230400 has 768 divisors, whose sum is σ = 32313838924800. Its totient is φ = 1744359598080.

The previous prime is 7631622230399. The next prime is 7631622230417. The reversal of 7631622230400 is 40322261367.

7631622230400 is a `hidden beast` number, since 7 + 6 + 3 + 1 + 622 + 23 + 0 + 4 + 0 + 0 = 666.

It is a super-3 number, since 3×7631622230400³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 48910909 + ... + 49066691.

It is an arithmetic number, because the mean of its divisors is an integer number (42075311100).

Almost surely, 2^{7631622230400} is an apocalyptic number.

7631622230400 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 7631622230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16156919462400).

7631622230400 is an abundant number, since it is smaller than the sum of its proper divisors (24682216694400).

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

7631622230400 is an equidigital number, since it uses as much as digits as its factorization.

7631622230400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155835 (or 155800 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

Adding to 7631622230400 its reverse (40322261367), we get a palindrome (7671944491767).

The spelling of 7631622230400 in words is "seven trillion, six hundred thirty-one billion, six hundred twenty-two million, two hundred thirty thousand, four hundred".