53764663680 has 1536 divisors, whose sum is σ = 247005158400. Its totient is φ = 10868981760.

The previous prime is 53764663661. The next prime is 53764663697. The reversal of 53764663680 is 8636646735.

53764663680 is a `hidden beast` number, since 5 + 3 + 76 + 466 + 36 + 80 = 666.

It is a super-2 number, since 2×53764663680² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 410417215 + ... + 410417345.

It is an arithmetic number, because the mean of its divisors is an integer number (160810650).

Almost surely, 2^53764663680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53764663680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123502579200).

53764663680 is an abundant number, since it is smaller than the sum of its proper divisors (193240494720).

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

53764663680 is a wasteful number, since it uses less digits than its factorization.

53764663680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 54.

The spelling of 53764663680 in words is "fifty-three billion, seven hundred sixty-four million, six hundred sixty-three thousand, six hundred eighty".