42907711603680 has 2304 divisors, whose sum is σ = 200152299110400. Its totient is φ = 8337867632640.

The previous prime is 42907711603643. The next prime is 42907711603717. The reversal of 42907711603680 is 8630611770924.

42907711603680 is a `hidden beast` number, since 4 + 29 + 0 + 7 + 7 + 1 + 1 + 603 + 6 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (42907711603643) and next prime (42907711603717).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 9486557899 + ... + 9486562421.

It is an arithmetic number, because the mean of its divisors is an integer number (86871657600).

Almost surely, 2^{42907711603680} is an apocalyptic number.

42907711603680 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 42907711603680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100076149555200).

42907711603680 is an abundant number, since it is smaller than the sum of its proper divisors (157244587506720).

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

42907711603680 is a wasteful number, since it uses less digits than its factorization.

42907711603680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4682 (or 4649 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 42907711603680 in words is "forty-two trillion, nine hundred seven billion, seven hundred eleven million, six hundred three thousand, six hundred eighty".