61767763008 has 336 divisors, whose sum is σ = 202833305280. Its totient is φ = 16482729984.

The previous prime is 61767762961. The next prime is 61767763009. The reversal of 61767763008 is 80036776716.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (61767763009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21909823 + ... + 21912641.

Almost surely, 2^61767763008 is an apocalyptic number.

61767763008 is a gapful number since it is divisible by the number (68) 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 61767763008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101416652640).

61767763008 is an abundant number, since it is smaller than the sum of its proper divisors (141065542272).

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

61767763008 is a wasteful number, since it uses less digits than its factorization.

61767763008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3002 (or 2985 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 51.

The spelling of 61767763008 in words is "sixty-one billion, seven hundred sixty-seven million, seven hundred sixty-three thousand, eight".