632264196096 has 504 divisors, whose sum is σ = 2045769214860. Its totient is φ = 194160623616.

The previous prime is 632264196043. The next prime is 632264196097. The reversal of 632264196096 is 690691462236.

632264196096 is a `hidden beast` number, since 6 + 3 + 2 + 26 + 4 + 1 + 9 + 609 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 631834214400 + 429981696 = 794880^2 + 20736^2 .

It is a super-2 number, since 2×632264196096² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (632264196097) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1242169090 + ... + 1242169598.

Almost surely, 2^632264196096 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 632264196096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1022884607430).

632264196096 is an abundant number, since it is smaller than the sum of its proper divisors (1413505018764).

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

632264196096 is an frugal number, since it uses more digits than its factorization.

632264196096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 54.

The spelling of 632264196096 in words is "six hundred thirty-two billion, two hundred sixty-four million, one hundred ninety-six thousand, ninety-six".