4496634000 has 400 divisors, whose sum is σ = 16662902256. Its totient is φ = 1168128000.

The previous prime is 4496633989. The next prime is 4496634073. The reversal of 4496634000 is 4366944.

It can be written as a sum of positive squares in 8 ways, for example, as 1162264464 + 3334369536 = 34092^2 + 57744^2 .

It is a tau number, because it is divible by the number of its divisors (400).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6641662 + ... + 6642338.

Almost surely, 2^4496634000 is an apocalyptic number.

4496634000 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 4496634000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8331451128).

4496634000 is an abundant number, since it is smaller than the sum of its proper divisors (12166268256).

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

4496634000 is a wasteful number, since it uses less digits than its factorization.

4496634000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753 (or 728 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 4496634000 is about 67056.9459489470. The cubic root of 4496634000 is about 1650.5518815053.

The spelling of 4496634000 in words is "four billion, four hundred ninety-six million, six hundred thirty-four thousand".