5662406400 has 216 divisors, whose sum is σ = 21357216384. Its totient is φ = 1294233600.

The previous prime is 5662406389. The next prime is 5662406419. The reversal of 5662406400 is 46042665.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113335 + ... + 155465.

Almost surely, 2^5662406400 is an apocalyptic number.

5662406400 is a gapful number since it is divisible by the number (50) 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 5662406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10678608192).

5662406400 is an abundant number, since it is smaller than the sum of its proper divisors (15694809984).

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

5662406400 is a wasteful number, since it uses less digits than its factorization.

5662406400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42167 (or 42148 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 5662406400 is about 75248.9627835494. The cubic root of 5662406400 is about 1782.3801849428.

The spelling of 5662406400 in words is "five billion, six hundred sixty-two million, four hundred six thousand, four hundred".