4693678080 has 768 divisors, whose sum is σ = 19549071360. Its totient is φ = 934281216.

The previous prime is 4693678079. The next prime is 4693678109. The reversal of 4693678080 is 808763964.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×4693678080² = 44061227837344972800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 64296924 + ... + 64296996.

It is an arithmetic number, because the mean of its divisors is an integer number (25454520).

Almost surely, 2^4693678080 is an apocalyptic number.

4693678080 is a gapful number since it is divisible by the number (40) 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 4693678080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9774535680).

4693678080 is an abundant number, since it is smaller than the sum of its proper divisors (14855393280).

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

4693678080 is a wasteful number, since it uses less digits than its factorization.

4693678080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The square root of 4693678080 is about 68510.4231485983. The cubic root of 4693678080 is about 1674.3173075900.

The spelling of 4693678080 in words is "four billion, six hundred ninety-three million, six hundred seventy-eight thousand, eighty".