6628383740160 has 1152 divisors, whose sum is σ = 29566216028160. Its totient is φ = 1368729944064.

The previous prime is 6628383740159. The next prime is 6628383740189. The reversal of 6628383740160 is 610473838266.

6628383740160 is a `hidden beast` number, since 6 + 62 + 8 + 383 + 7 + 40 + 160 = 666.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 6628383740097 and 6628383740106.

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, 147790699 + ... + 147835541.

It is an arithmetic number, because the mean of its divisors is an integer number (25665118080).

Almost surely, 2^{6628383740160} is an apocalyptic number.

6628383740160 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 6628383740160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14783108014080).

6628383740160 is an abundant number, since it is smaller than the sum of its proper divisors (22937832288000).

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

6628383740160 is a wasteful number, since it uses less digits than its factorization.

6628383740160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44940 (or 44920 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 6628383740160 in words is "six trillion, six hundred twenty-eight billion, three hundred eighty-three million, seven hundred forty thousand, one hundred sixty".