5462661600 has 576 divisors, whose sum is σ = 21891098880. Its totient is φ = 1303603200.

The previous prime is 5462661599. The next prime is 5462661619. The reversal of 5462661600 is 61662645.

It is a happy number.

5462661600 is a `hidden beast` number, since 5 + 46 + 2 + 6 + 6 + 1 + 600 = 666.

It is a super-2 number, since 2×5462661600² = 59681343512229120000, 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 95 ways as a sum of consecutive naturals, for example, 19720662 + ... + 19720938.

It is an arithmetic number, because the mean of its divisors is an integer number (38005380).

Almost surely, 2^5462661600 is an apocalyptic number.

5462661600 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 5462661600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10945549440).

5462661600 is an abundant number, since it is smaller than the sum of its proper divisors (16428437280).

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

5462661600 is a wasteful number, since it uses less digits than its factorization.

5462661600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 5462661600 is about 73909.8207276949. The cubic root of 5462661600 is about 1761.1706227303.

The spelling of 5462661600 in words is "five billion, four hundred sixty-two million, six hundred sixty-one thousand, six hundred".