61158464640000 has 7040 divisors, whose sum is σ = 309407357952000. Its totient is φ = 11561730048000.

The previous prime is 61158464639983. The next prime is 61158464640037. The reversal of 61158464640000 is 4646485116.

61158464640000 is a `hidden beast` number, since 6 + 1 + 1 + 584 + 6 + 4 + 64 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 687173759956 + ... + 687173760044.

It is an arithmetic number, because the mean of its divisors is an integer number (43949908800).

Almost surely, 2^{61158464640000} is an apocalyptic number.

61158464640000 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 61158464640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154703678976000).

61158464640000 is an abundant number, since it is smaller than the sum of its proper divisors (248248893312000).

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

61158464640000 is a wasteful number, since it uses less digits than its factorization.

61158464640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 61158464640000 in words is "sixty-one trillion, one hundred fifty-eight billion, four hundred sixty-four million, six hundred forty thousand".