61045758540 has 720 divisors, whose sum is σ = 226088422560. Its totient is φ = 13660876800.

The previous prime is 61045758539. The next prime is 61045758547. The reversal of 61045758540 is 4585754016.

61045758540 is a `hidden beast` number, since 6 + 1 + 0 + 4 + 57 + 58 + 540 = 666.

61045758540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (61045758547) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1000750110 + ... + 1000750170.

It is an arithmetic number, because the mean of its divisors is an integer number (314011698).

Almost surely, 2^61045758540 is an apocalyptic number.

61045758540 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 61045758540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113044211280).

61045758540 is an abundant number, since it is smaller than the sum of its proper divisors (165042664020).

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

61045758540 is a wasteful number, since it uses less digits than its factorization.

61045758540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The spelling of 61045758540 in words is "sixty-one billion, forty-five million, seven hundred fifty-eight thousand, five hundred forty".