61093232640 has 960 divisors, whose sum is σ = 247624151040. Its totient is φ = 14332723200.

The previous prime is 61093232587. The next prime is 61093232699. The reversal of 61093232640 is 4623239016.

61093232640 is a `hidden beast` number, since 6 + 1 + 0 + 9 + 3 + 2 + 3 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×61093232640² (a number of 22 digits) contains 22 as substring.

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

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 61093232595 and 61093232604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1970749425 + ... + 1970749455.

It is an arithmetic number, because the mean of its divisors is an integer number (257941824).

Almost surely, 2^61093232640 is an apocalyptic number.

61093232640 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 61093232640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123812075520).

61093232640 is an abundant number, since it is smaller than the sum of its proper divisors (186530918400).

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

61093232640 is an frugal number, since it uses more digits than its factorization.

61093232640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 61093232640 in words is "sixty-one billion, ninety-three million, two hundred thirty-two thousand, six hundred forty".