4967600400 has 720 divisors, whose sum is σ = 20988240000. Its totient is φ = 1127831040.

The previous prime is 4967600359. The next prime is 4967600441. The reversal of 4967600400 is 40067694.

4967600400 is a `hidden beast` number, since 4 + 9 + 6 + 7 + 600 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4967600359) and next prime (4967600441).

It is a tau number, because it is divible by the number of its divisors (720).

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 33339526 + ... + 33339674.

Almost surely, 2^4967600400 is an apocalyptic number.

4967600400 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 4967600400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10494120000).

4967600400 is an abundant number, since it is smaller than the sum of its proper divisors (16020639600).

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

4967600400 is a wasteful number, since it uses less digits than its factorization.

4967600400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 4967600400 is about 70481.2060055729. The cubic root of 4967600400 is about 1706.2744375198.

The spelling of 4967600400 in words is "four billion, nine hundred sixty-seven million, six hundred thousand, four hundred".