61029707424 has 384 divisors, whose sum is σ = 192743276544. Its totient is φ = 16547328000.

The previous prime is 61029707423. The next prime is 61029707441. The reversal of 61029707424 is 42470792016.

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

It is not an unprimeable number, because it can be changed into a prime (61029707423) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 319527169 + ... + 319527359.

It is an arithmetic number, because the mean of its divisors is an integer number (501935616).

Almost surely, 2^61029707424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61029707424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96371638272).

61029707424 is an abundant number, since it is smaller than the sum of its proper divisors (131713569120).

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

61029707424 is a wasteful number, since it uses less digits than its factorization.

61029707424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The spelling of 61029707424 in words is "sixty-one billion, twenty-nine million, seven hundred seven thousand, four hundred twenty-four".