5462100864 has 320 divisors, whose sum is σ = 18127929600. Its totient is φ = 1618375680.

The previous prime is 5462100863. The next prime is 5462100899. The reversal of 5462100864 is 4680012645.

5462100864 is a `hidden beast` number, since 546 + 2 + 100 + 8 + 6 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5462100863) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 5359747 + ... + 5360765.

It is an arithmetic number, because the mean of its divisors is an integer number (56649780).

Almost surely, 2^5462100864 is an apocalyptic number.

5462100864 is a gapful number since it is divisible by the number (54) 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 5462100864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9063964800).

5462100864 is an abundant number, since it is smaller than the sum of its proper divisors (12665828736).

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

5462100864 is a wasteful number, since it uses less digits than its factorization.

5462100864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1103 (or 1082 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 5462100864 is about 73906.0272508271. The cubic root of 5462100864 is about 1761.1103599478.

The spelling of 5462100864 in words is "five billion, four hundred sixty-two million, one hundred thousand, eight hundred sixty-four".