61045824840 has 768 divisors, whose sum is σ = 253725696000. Its totient is φ = 11548293120.

The previous prime is 61045824821. The next prime is 61045824859. The reversal of 61045824840 is 4842854016.

It is an interprime number because it is at equal distance from previous prime (61045824821) and next prime (61045824859).

It is a super-2 number, since 2×61045824840² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 61045824792 and 61045824801.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 66425901 + ... + 66426819.

It is an arithmetic number, because the mean of its divisors is an integer number (330372000).

Almost surely, 2^61045824840 is an apocalyptic number.

61045824840 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 61045824840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126862848000).

61045824840 is an abundant number, since it is smaller than the sum of its proper divisors (192679871160).

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

61045824840 is a wasteful number, since it uses less digits than its factorization.

61045824840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1050 (or 1039 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 42.

The spelling of 61045824840 in words is "sixty-one billion, forty-five million, eight hundred twenty-four thousand, eight hundred forty".