1678490929296 has 240 divisors, whose sum is σ = 4821066432000. Its totient is φ = 545014259712.

The previous prime is 1678490929253. The next prime is 1678490929429. The reversal of 1678490929296 is 6929290948761.

1678490929296 is a `hidden beast` number, since 167 + 8 + 4 + 90 + 9 + 292 + 96 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 260268280 + ... + 260274728.

It is an arithmetic number, because the mean of its divisors is an integer number (20087776800).

Almost surely, 2^{1678490929296} is an apocalyptic number.

1678490929296 is a gapful number since it is divisible by the number (16) 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 1678490929296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2410533216000).

1678490929296 is an abundant number, since it is smaller than the sum of its proper divisors (3142575502704).

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

1678490929296 is a wasteful number, since it uses less digits than its factorization.

1678490929296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6846 (or 6837 counting only the distinct ones).

The product of its (nonzero) digits is 211631616, while the sum is 72.

The spelling of 1678490929296 in words is "one trillion, six hundred seventy-eight billion, four hundred ninety million, nine hundred twenty-nine thousand, two hundred ninety-six".