63429640243200 has 1728 divisors, whose sum is σ = 292358047887360. Its totient is φ = 12754796544000.

The previous prime is 63429640243153. The next prime is 63429640243237. The reversal of 63429640243200 is 234204692436.

63429640243200 is a `hidden beast` number, since 6 + 34 + 2 + 9 + 6 + 402 + 4 + 3 + 200 = 666.

It is a super-2 number, since 2×63429640243200² (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 143 ways as a sum of consecutive naturals, for example, 1099900767 + ... + 1099958433.

It is an arithmetic number, because the mean of its divisors is an integer number (169188685120).

Almost surely, 2^{63429640243200} is an apocalyptic number.

63429640243200 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 63429640243200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146179023943680).

63429640243200 is an abundant number, since it is smaller than the sum of its proper divisors (228928407644160).

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

63429640243200 is a wasteful number, since it uses less digits than its factorization.

63429640243200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57754 (or 57726 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 45.

The spelling of 63429640243200 in words is "sixty-three trillion, four hundred twenty-nine billion, six hundred forty million, two hundred forty-three thousand, two hundred".