1678270464 has 336 divisors, whose sum is σ = 5581753632. Its totient is φ = 481296384.

The previous prime is 1678270423. The next prime is 1678270483. The reversal of 1678270464 is 4640728761.

1678270464 is a `hidden beast` number, since 167 + 8 + 27 + 0 + 464 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16293837 + ... + 16293939.

It is an arithmetic number, because the mean of its divisors is an integer number (16612362).

Almost surely, 2^1678270464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1678270464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2790876816).

1678270464 is an abundant number, since it is smaller than the sum of its proper divisors (3903483168).

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

1678270464 is a wasteful number, since it uses less digits than its factorization.

1678270464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 1678270464 is about 40966.6994521160. The cubic root of 1678270464 is about 1188.3763049653.

The spelling of 1678270464 in words is "one billion, six hundred seventy-eight million, two hundred seventy thousand, four hundred sixty-four".