61024803840 has 2112 divisors, whose sum is σ = 300427545600. Its totient is φ = 11705057280.

The previous prime is 61024803793. The next prime is 61024803859. The reversal of 61024803840 is 4830842016.

61024803840 is a `hidden beast` number, since 6 + 102 + 480 + 38 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

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

It is a junction number, because it is equal to n+sod(n) for n = 61024803795 and 61024803804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4694215674 + ... + 4694215686.

Almost surely, 2^61024803840 is an apocalyptic number.

61024803840 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 61024803840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150213772800).

61024803840 is an abundant number, since it is smaller than the sum of its proper divisors (239402741760).

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

61024803840 is a wasteful number, since it uses less digits than its factorization.

61024803840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 61024803840 in words is "sixty-one billion, twenty-four million, eight hundred three thousand, eight hundred forty".