61542936000 has 1792 divisors, whose sum is σ = 289705328640. Its totient is φ = 12441600000.

The previous prime is 61542935983. The next prime is 61542936023. The reversal of 61542936000 is 63924516.

It is a happy number.

61542936000 is a `hidden beast` number, since 6 + 1 + 5 + 42 + 9 + 3 + 600 + 0 = 666.

61542936000 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 609335950 + ... + 609336050.

It is an arithmetic number, because the mean of its divisors is an integer number (161665920).

Almost surely, 2^61542936000 is an apocalyptic number.

61542936000 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 61542936000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144852664320).

61542936000 is an abundant number, since it is smaller than the sum of its proper divisors (228162392640).

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

61542936000 is a wasteful number, since it uses less digits than its factorization.

61542936000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 61542936000 in words is "sixty-one billion, five hundred forty-two million, nine hundred thirty-six thousand".