61009200756 has 192 divisors, whose sum is σ = 183479296000. Its totient is φ = 17170807680.

The previous prime is 61009200743. The next prime is 61009200761. The reversal of 61009200756 is 65700290016.

61009200756 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 self number, because there is not a number n which added to its sum of digits gives 61009200756.

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, 34101510 + ... + 34103298.

Almost surely, 2^61009200756 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61009200756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91739648000).

61009200756 is an abundant number, since it is smaller than the sum of its proper divisors (122470095244).

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

61009200756 is a wasteful number, since it uses less digits than its factorization.

61009200756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2459 (or 2451 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 61009200756 in words is "sixty-one billion, nine million, two hundred thousand, seven hundred fifty-six".