63764009280 has 168 divisors, whose sum is σ = 223039533600. Its totient is φ = 16715492352.

The previous prime is 63764009269. The next prime is 63764009321. The reversal of 63764009280 is 8290046736.

63764009280 is a `hidden beast` number, since 637 + 6 + 4 + 0 + 0 + 9 + 2 + 8 + 0 = 666.

It is a super-2 number, since 2×63764009280² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17710 + ... + 357549.

Almost surely, 2^63764009280 is an apocalyptic number.

63764009280 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 63764009280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111519766800).

63764009280 is an abundant number, since it is smaller than the sum of its proper divisors (159275524320).

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

63764009280 is a wasteful number, since it uses less digits than its factorization.

63764009280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375341 (or 375328 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 63764009280 in words is "sixty-three billion, seven hundred sixty-four million, nine thousand, two hundred eighty".