61204755240 has 288 divisors, whose sum is σ = 212268359160. Its totient is φ = 15291187200.

The previous prime is 61204755217. The next prime is 61204755251. The reversal of 61204755240 is 4255740216.

It is a happy number.

61204755240 is a `hidden beast` number, since 6 + 1 + 20 + 47 + 552 + 40 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 14830855524 + 46373899716 = 121782^2 + 215346^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 61204755195 and 61204755204.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 25072420 + ... + 25074860.

Almost surely, 2^61204755240 is an apocalyptic number.

61204755240 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 61204755240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106134179580).

61204755240 is an abundant number, since it is smaller than the sum of its proper divisors (151063603920).

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

61204755240 is a wasteful number, since it uses less digits than its factorization.

61204755240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2733 (or 2709 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 61204755240 in words is "sixty-one billion, two hundred four million, seven hundred fifty-five thousand, two hundred forty".