61736520832 has 256 divisors, whose sum is σ = 149590425600. Its totient is φ = 24825139200.

The previous prime is 61736520823. The next prime is 61736520851. The reversal of 61736520832 is 23802563716.

It is a super-2 number, since 2×61736520832² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 140629669 + ... + 140630107.

It is an arithmetic number, because the mean of its divisors is an integer number (584337600).

Almost surely, 2^61736520832 is an apocalyptic number.

61736520832 is a gapful number since it is divisible by the number (62) 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 61736520832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74795212800).

61736520832 is an abundant number, since it is smaller than the sum of its proper divisors (87853904768).

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

61736520832 is a wasteful number, since it uses less digits than its factorization.

61736520832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 43.

The spelling of 61736520832 in words is "sixty-one billion, seven hundred thirty-six million, five hundred twenty thousand, eight hundred thirty-two".