4691606400 has 384 divisors, whose sum is σ = 18495170400. Its totient is φ = 1154580480.

The previous prime is 4691606389. The next prime is 4691606429. The reversal of 4691606400 is 46061964.

4691606400 is a `hidden beast` number, since 4 + 6 + 9 + 1 + 6 + 0 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×4691606400² = 44022341225041920000, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 1121112 + ... + 1125288.

Almost surely, 2^4691606400 is an apocalyptic number.

4691606400 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 4691606400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9247585200).

4691606400 is an abundant number, since it is smaller than the sum of its proper divisors (13803564000).

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

4691606400 is a wasteful number, since it uses less digits than its factorization.

4691606400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4223 (or 4200 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 4691606400 is about 68495.3020286793. The cubic root of 4691606400 is about 1674.0709364732.

The spelling of 4691606400 in words is "four billion, six hundred ninety-one million, six hundred six thousand, four hundred".