62561859840 has 360 divisors, whose sum is σ = 224657250048. Its totient is φ = 16623636480.

The previous prime is 62561859823. The next prime is 62561859917. The reversal of 62561859840 is 4895816526.

62561859840 is a `hidden beast` number, since 6 + 2 + 5 + 6 + 1 + 8 + 598 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 34317169 + ... + 34318991.

Almost surely, 2^62561859840 is an apocalyptic number.

62561859840 is a gapful number since it is divisible by the number (60) 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 62561859840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112328625024).

62561859840 is an abundant number, since it is smaller than the sum of its proper divisors (162095390208).

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

62561859840 is a wasteful number, since it uses less digits than its factorization.

62561859840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2187 (or 2164 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 62561859840 in words is "sixty-two billion, five hundred sixty-one million, eight hundred fifty-nine thousand, eight hundred forty".