61787600000 has 192 divisors, whose sum is σ = 175843120320. Its totient is φ = 21183360000.

The previous prime is 61787599949. The next prime is 61787600009. The reversal of 61787600000 is 678716.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (61787600009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2788967 + ... + 2811033.

It is an arithmetic number, because the mean of its divisors is an integer number (915849585).

Almost surely, 2^61787600000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61787600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87921560160).

61787600000 is an abundant number, since it is smaller than the sum of its proper divisors (114055520320).

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

61787600000 is an frugal number, since it uses more digits than its factorization.

61787600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22113 (or 22081 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 35.

The spelling of 61787600000 in words is "sixty-one billion, seven hundred eighty-seven million, six hundred thousand".