61770250080 has 1152 divisors, whose sum is σ = 278970531840. Its totient is φ = 12533667840.

The previous prime is 61770250063. The next prime is 61770250097. The reversal of 61770250080 is 8005207716.

61770250080 is a `hidden beast` number, since 6 + 1 + 7 + 70 + 2 + 500 + 80 = 666.

61770250080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (61770250063) and next prime (61770250097).

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 191 ways as a sum of consecutive naturals, for example, 140706501 + ... + 140706939.

It is an arithmetic number, because the mean of its divisors is an integer number (242161920).

Almost surely, 2^61770250080 is an apocalyptic number.

61770250080 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 61770250080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139485265920).

61770250080 is an abundant number, since it is smaller than the sum of its proper divisors (217200281760).

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

61770250080 is a wasteful number, since it uses less digits than its factorization.

61770250080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

Adding to 61770250080 its reverse (8005207716), we get a palindrome (69775457796).

The spelling of 61770250080 in words is "sixty-one billion, seven hundred seventy million, two hundred fifty thousand, eighty".