663797756160 has 1152 divisors, whose sum is σ = 3005617950720. Its totient is φ = 134701056000.

The previous prime is 663797756147. The next prime is 663797756173. The reversal of 663797756160 is 61657797366.

663797756160 is a `hidden beast` number, since 6 + 6 + 3 + 7 + 9 + 7 + 7 + 5 + 616 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (663797756147) and next prime (663797756173).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×663797756160² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 114425260 + ... + 114431060.

It is an arithmetic number, because the mean of its divisors is an integer number (2609043360).

Almost surely, 2^663797756160 is an apocalyptic number.

663797756160 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 663797756160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1502808975360).

663797756160 is an abundant number, since it is smaller than the sum of its proper divisors (2341820194560).

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

663797756160 is a wasteful number, since it uses less digits than its factorization.

663797756160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5892 (or 5872 counting only the distinct ones).

The product of its (nonzero) digits is 60011280, while the sum is 63.

The spelling of 663797756160 in words is "six hundred sixty-three billion, seven hundred ninety-seven million, seven hundred fifty-six thousand, one hundred sixty".