63334288343040 has 1920 divisors, whose sum is σ = 253752546797568. Its totient is φ = 13251819601920.

The previous prime is 63334288343033. The next prime is 63334288343099. The reversal of 63334288343040 is 4034388243336.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×63334288343040² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 135619460887 + ... + 135619461353.

Almost surely, 2^{63334288343040} is an apocalyptic number.

63334288343040 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 63334288343040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126876273398784).

63334288343040 is an abundant number, since it is smaller than the sum of its proper divisors (190418258454528).

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

63334288343040 is a wasteful number, since it uses less digits than its factorization.

63334288343040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 51.

The spelling of 63334288343040 in words is "sixty-three trillion, three hundred thirty-four billion, two hundred eighty-eight million, three hundred forty-three thousand, forty".