61576359840 has 384 divisors, whose sum is σ = 218381184000. Its totient is φ = 16203939840.

The previous prime is 61576359809. The next prime is 61576359853. The reversal of 61576359840 is 4895367516.

61576359840 is a `hidden beast` number, since 6 + 1 + 5 + 7 + 6 + 3 + 598 + 40 = 666.

It is a super-2 number, since 2×61576359840² (a number of 22 digits) contains 22 as substring.

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

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 63 ways as a sum of consecutive naturals, for example, 174437104 + ... + 174437456.

It is an arithmetic number, because the mean of its divisors is an integer number (568701000).

Almost surely, 2^61576359840 is an apocalyptic number.

61576359840 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 61576359840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109190592000).

61576359840 is an abundant number, since it is smaller than the sum of its proper divisors (156804824160).

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

61576359840 is a wasteful number, since it uses less digits than its factorization.

61576359840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 61576359840 in words is "sixty-one billion, five hundred seventy-six million, three hundred fifty-nine thousand, eight hundred forty".