42761608797600 has 4608 divisors, whose sum is σ = 213437539123200. Its totient is φ = 8055742464000.

The previous prime is 42761608797581. The next prime is 42761608797619. The reversal of 42761608797600 is 679780616724.

42761608797600 is a `hidden beast` number, since 4 + 2 + 7 + 6 + 16 + 0 + 8 + 7 + 9 + 7 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (42761608797581) and next prime (42761608797619).

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 767 ways as a sum of consecutive naturals, for example, 99214869385 + ... + 99214869815.

It is an arithmetic number, because the mean of its divisors is an integer number (46318910400).

Almost surely, 2^{42761608797600} is an apocalyptic number.

42761608797600 is a gapful number since it is divisible by the number (40) 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 42761608797600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106718769561600).

42761608797600 is an abundant number, since it is smaller than the sum of its proper divisors (170675930325600).

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

42761608797600 is a wasteful number, since it uses less digits than its factorization.

42761608797600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 42674688, while the sum is 63.

The spelling of 42761608797600 in words is "forty-two trillion, seven hundred sixty-one billion, six hundred eight million, seven hundred ninety-seven thousand, six hundred".