61282637640000 has 1120 divisors, whose sum is σ = 257582894088960. Its totient is φ = 13991436288000.

The previous prime is 61282637639959. The next prime is 61282637640019. The reversal of 61282637640000 is 4673628216.

61282637640000 is a `hidden beast` number, since 6 + 1 + 2 + 8 + 2 + 637 + 6 + 4 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a super-2 number, since 2×61282637640000² (a number of 28 digits) contains 22 as substring.

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 159 ways as a sum of consecutive naturals, for example, 7386115852 + ... + 7386124148.

Almost surely, 2^{61282637640000} is an apocalyptic number.

61282637640000 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 61282637640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128791447044480).

61282637640000 is an abundant number, since it is smaller than the sum of its proper divisors (196300256448960).

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

61282637640000 is an equidigital number, since it uses as much as digits as its factorization.

61282637640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9322 (or 9291 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 61282637640000 in words is "sixty-one trillion, two hundred eighty-two billion, six hundred thirty-seven million, six hundred forty thousand".