61208772387840 has 5280 divisors, whose sum is σ = 293664935697408. Its totient is φ = 12139816550400.

The previous prime is 61208772387827. The next prime is 61208772387929. The reversal of 61208772387840 is 4878327780216.

It is a happy number.

61208772387840 is a `hidden beast` number, since 6 + 1 + 208 + 7 + 7 + 2 + 387 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (5280).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 838476334044 + ... + 838476334116.

Almost surely, 2^{61208772387840} is an apocalyptic number.

61208772387840 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 61208772387840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146832467848704).

61208772387840 is an abundant number, since it is smaller than the sum of its proper divisors (232456163309568).

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

61208772387840 is a wasteful number, since it uses less digits than its factorization.

61208772387840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 50577408, while the sum is 63.

It can be divided in two parts, 612087 and 72387840, that added together give a palindrome (72999927).

The spelling of 61208772387840 in words is "sixty-one trillion, two hundred eight billion, seven hundred seventy-two million, three hundred eighty-seven thousand, eight hundred forty".