61190640000 has 1600 divisors, whose sum is σ = 277606137600. Its totient is φ = 13063680000.

The previous prime is 61190639903. The next prime is 61190640037. The reversal of 61190640000 is 4609116.

61190640000 is a `hidden beast` number, since 6 + 1 + 19 + 0 + 640 + 0 + 0 + 0 = 666.

61190640000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1600).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 861839965 + ... + 861840035.

It is an arithmetic number, because the mean of its divisors is an integer number (173503836).

Almost surely, 2^61190640000 is an apocalyptic number.

61190640000 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 61190640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138803068800).

61190640000 is an abundant number, since it is smaller than the sum of its proper divisors (216415497600).

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

61190640000 is an equidigital number, since it uses as much as digits as its factorization.

61190640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 61190640000 in words is "sixty-one billion, one hundred ninety million, six hundred forty thousand".