396653418338760 has 640 divisors, whose sum is σ = 1531133891971200. Its totient is φ = 91086078320640.

The previous prime is 396653418338677. The next prime is 396653418338831. The reversal of 396653418338760 is 67833814356693.

396653418338760 is a `hidden beast` number, since 3 + 9 + 6 + 6 + 5 + 3 + 4 + 183 + 387 + 60 = 666.

It is a super-3 number, since 3×396653418338760³ (a number of 45 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 6211556752 + ... + 6211620608.

It is an arithmetic number, because the mean of its divisors is an integer number (2392396706205).

Almost surely, 2^{396653418338760} is an apocalyptic number.

396653418338760 is a gapful number since it is divisible by the number (30) 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 396653418338760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (765566945985600).

396653418338760 is an abundant number, since it is smaller than the sum of its proper divisors (1134480473632440).

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

396653418338760 is a wasteful number, since it uses less digits than its factorization.

396653418338760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73083 (or 73070 counting only the distinct ones).

The product of its (nonzero) digits is 1410877440, while the sum is 72.

The spelling of 396653418338760 in words is "three hundred ninety-six trillion, six hundred fifty-three billion, four hundred eighteen million, three hundred thirty-eight thousand, seven hundred sixty".