63417290150400 has 960 divisors, whose sum is σ = 224820550563840. Its totient is φ = 15719101235200.

The previous prime is 63417290150399. The next prime is 63417290150419. The reversal of 63417290150400 is 405109271436.

It is a tau number, because it is divible by the number of its divisors (960).

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, 9523542271 + ... + 9523548929.

It is an arithmetic number, because the mean of its divisors is an integer number (234188073504).

Almost surely, 2^{63417290150400} is an apocalyptic number.

63417290150400 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 63417290150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112410275281920).

63417290150400 is an abundant number, since it is smaller than the sum of its proper divisors (161403260413440).

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

63417290150400 is a wasteful number, since it uses less digits than its factorization.

63417290150400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7017 (or 6996 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 63417290150400 in words is "sixty-three trillion, four hundred seventeen billion, two hundred ninety million, one hundred fifty thousand, four hundred".