663770016 has 576 divisors, whose sum is σ = 2583060480. Its totient is φ = 156764160.

The previous prime is 663769993. The next prime is 663770017. The reversal of 663770016 is 610077366.

663770016 = 453³ + 454³ + ... + 459³.

663770016 is a `hidden beast` number, since 6 + 637 + 7 + 0 + 0 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (663770017) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15436491 + ... + 15436533.

It is an arithmetic number, because the mean of its divisors is an integer number (4484480).

Almost surely, 2^663770016 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 663770016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1291530240).

663770016 is an abundant number, since it is smaller than the sum of its proper divisors (1919290464).

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

663770016 is a wasteful number, since it uses less digits than its factorization.

663770016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 663770016 is about 25763.7345119065. The cubic root of 663770016 is about 872.3133991195.

The spelling of 663770016 in words is "six hundred sixty-three million, seven hundred seventy thousand, sixteen".