1678630964400 has 720 divisors, whose sum is σ = 6576122538720. Its totient is φ = 406400716800.

The previous prime is 1678630964399. The next prime is 1678630964429. The reversal of 1678630964400 is 44690368761.

1678630964400 is a `hidden beast` number, since 1 + 6 + 7 + 86 + 30 + 96 + 440 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 111329662 + ... + 111344738.

It is an arithmetic number, because the mean of its divisors is an integer number (9133503526).

Almost surely, 2^{1678630964400} is an apocalyptic number.

1678630964400 is a gapful number since it is divisible by the number (10) 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 1678630964400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3288061269360).

1678630964400 is an abundant number, since it is smaller than the sum of its proper divisors (4897491574320).

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

1678630964400 is a wasteful number, since it uses less digits than its factorization.

1678630964400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15191 (or 15161 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 1678630964400 in words is "one trillion, six hundred seventy-eight billion, six hundred thirty million, nine hundred sixty-four thousand, four hundred".