1678815264 has 288 divisors, whose sum is σ = 5460618240. Its totient is φ = 449315328.

The previous prime is 1678815247. The next prime is 1678815269. The reversal of 1678815264 is 4625188761.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (1678815269) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6383197 + ... + 6383459.

It is an arithmetic number, because the mean of its divisors is an integer number (18960480).

Almost surely, 2^1678815264 is an apocalyptic number.

1678815264 is a gapful number since it is divisible by the number (14) 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 1678815264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2730309120).

1678815264 is an abundant number, since it is smaller than the sum of its proper divisors (3781802976).

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

1678815264 is a wasteful number, since it uses less digits than its factorization.

1678815264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 357 counting only the distinct ones).

The product of its digits is 645120, while the sum is 48.

The square root of 1678815264 is about 40973.3482156389. The cubic root of 1678815264 is about 1188.5048812549.

The spelling of 1678815264 in words is "one billion, six hundred seventy-eight million, eight hundred fifteen thousand, two hundred sixty-four".