61876936800000 has 3024 divisors, whose sum is σ = 276451190991360. Its totient is φ = 13507845120000.

The previous prime is 61876936799947. The next prime is 61876936800031. The reversal of 61876936800000 is 863967816.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (3024).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 61876936800000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 93895199671 + ... + 93895200329.

It is an arithmetic number, because the mean of its divisors is an integer number (91419044640).

Almost surely, 2^{61876936800000} is an apocalyptic number.

61876936800000 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 61876936800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138225595495680).

61876936800000 is an abundant number, since it is smaller than the sum of its proper divisors (214574254191360).

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

61876936800000 is an frugal number, since it uses more digits than its factorization.

61876936800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 61876936800000 in words is "sixty-one trillion, eight hundred seventy-six billion, nine hundred thirty-six million, eight hundred thousand".