1678748198400 has 1920 divisors, whose sum is σ = 7689057868800. Its totient is φ = 353659944960.

The previous prime is 1678748198383. The next prime is 1678748198429. The reversal of 1678748198400 is 48918478761.

1678748198400 is a `hidden beast` number, since 1 + 6 + 78 + 7 + 481 + 9 + 84 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2547417271 + ... + 2547417929.

It is an arithmetic number, because the mean of its divisors is an integer number (4004717640).

Almost surely, 2^{1678748198400} is an apocalyptic number.

1678748198400 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 1678748198400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3844528934400).

1678748198400 is an abundant number, since it is smaller than the sum of its proper divisors (6010309670400).

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

1678748198400 is an frugal number, since it uses more digits than its factorization.

1678748198400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 21676032, while the sum is 63.

The spelling of 1678748198400 in words is "one trillion, six hundred seventy-eight billion, seven hundred forty-eight million, one hundred ninety-eight thousand, four hundred".