664521369120 has 1152 divisors, whose sum is σ = 2858813927424. Its totient is φ = 142474235904.

The previous prime is 664521369091. The next prime is 664521369131. The reversal of 664521369120 is 21963125466.

664521369120 is a `hidden beast` number, since 6 + 6 + 4 + 521 + 36 + 91 + 2 + 0 = 666.

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

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, 331762039 + ... + 331764041.

It is an arithmetic number, because the mean of its divisors is an integer number (2481609312).

Almost surely, 2^664521369120 is an apocalyptic number.

664521369120 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 664521369120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1429406963712).

664521369120 is an abundant number, since it is smaller than the sum of its proper divisors (2194292558304).

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

664521369120 is a wasteful number, since it uses less digits than its factorization.

664521369120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2116 (or 2096 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 664521369120 in words is "six hundred sixty-four billion, five hundred twenty-one million, three hundred sixty-nine thousand, one hundred twenty".