63542196432000 has 4608 divisors, whose sum is σ = 293322635424000. Its totient is φ = 13036308480000.

The previous prime is 63542196431983. The next prime is 63542196432049. The reversal of 63542196432000 is 23469124536.

63542196432000 is a `hidden beast` number, since 6 + 3 + 54 + 219 + 64 + 320 + 0 + 0 = 666.

It is a super-2 number, since 2×63542196432000² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 2049748271985 + ... + 2049748272015.

Almost surely, 2^{63542196432000} is an apocalyptic number.

63542196432000 is a gapful number since it is divisible by the number (60) 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 63542196432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146661317712000).

63542196432000 is an abundant number, since it is smaller than the sum of its proper divisors (229780438992000).

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

63542196432000 is a wasteful number, since it uses less digits than its factorization.

63542196432000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 63542196432000 in words is "sixty-three trillion, five hundred forty-two billion, one hundred ninety-six million, four hundred thirty-two thousand".