4614678000 has 320 divisors, whose sum is σ = 16720179840. Its totient is φ = 1216512000.

The previous prime is 4614677959. The next prime is 4614678001. The reversal of 4614678000 is 8764164.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4614678001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5237560 + ... + 5238440.

It is an arithmetic number, because the mean of its divisors is an integer number (52250562).

Almost surely, 2^4614678000 is an apocalyptic number.

4614678000 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 4614678000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8360089920).

4614678000 is an abundant number, since it is smaller than the sum of its proper divisors (12105501840).

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

4614678000 is a wasteful number, since it uses less digits than its factorization.

4614678000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 4614678000 is about 67931.4213011917. The cubic root of 4614678000 is about 1664.8705361556.

The spelling of 4614678000 in words is "four billion, six hundred fourteen million, six hundred seventy-eight thousand".