63473729379840 has 1920 divisors, whose sum is σ = 256908975523200. Its totient is φ = 14911128207360.

The previous prime is 63473729379773. The next prime is 63473729379859. The reversal of 63473729379840 is 4897392737436.

63473729379840 is a `hidden beast` number, since 6 + 3 + 47 + 372 + 93 + 7 + 98 + 40 = 666.

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

It is a super-3 number, since 3×63473729379840³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 20872648720 + ... + 20872651760.

It is an arithmetic number, because the mean of its divisors is an integer number (133806758085).

Almost surely, 2^{63473729379840} is an apocalyptic number.

63473729379840 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 63473729379840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128454487761600).

63473729379840 is an abundant number, since it is smaller than the sum of its proper divisors (193435246143360).

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

63473729379840 is a wasteful number, since it uses less digits than its factorization.

63473729379840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3210 (or 3182 counting only the distinct ones).

The product of its (nonzero) digits is 1152216576, while the sum is 72.

The spelling of 63473729379840 in words is "sixty-three trillion, four hundred seventy-three billion, seven hundred twenty-nine million, three hundred seventy-nine thousand, eight hundred forty".