42615645696000 has 4992 divisors, whose sum is σ = 191933137094400. Its totient is φ = 9274864435200.

The previous prime is 42615645695993. The next prime is 42615645696007. The reversal of 42615645696000 is 69654651624.

42615645696000 is a `hidden beast` number, since 4 + 2 + 6 + 15 + 6 + 4 + 569 + 60 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (42615645695993) and next prime (42615645696007).

It is a tau number, because it is divible by the number of its divisors (4992).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42615645696007) 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 383 ways as a sum of consecutive naturals, for example, 1151774207982 + ... + 1151774208018.

It is an arithmetic number, because the mean of its divisors is an integer number (38448144450).

Almost surely, 2^{42615645696000} is an apocalyptic number.

42615645696000 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 42615645696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95966568547200).

42615645696000 is an abundant number, since it is smaller than the sum of its proper divisors (149317491398400).

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

42615645696000 is a wasteful number, since it uses less digits than its factorization.

42615645696000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 42615645696000 in words is "forty-two trillion, six hundred fifteen billion, six hundred forty-five million, six hundred ninety-six thousand".