42763706802432 has 432 divisors, whose sum is σ = 153799624567680. Its totient is φ = 11101888512000.

The previous prime is 42763706802409. The next prime is 42763706802451. The reversal of 42763706802432 is 23420860736724.

42763706802432 is a `hidden beast` number, since 4 + 2 + 7 + 63 + 70 + 6 + 80 + 2 + 432 = 666.

It is a super-2 number, since 2×42763706802432² (a number of 28 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 359901432 + ... + 360020232.

Almost surely, 2^{42763706802432} is an apocalyptic number.

42763706802432 is a gapful number since it is divisible by the number (42) 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 42763706802432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76899812283840).

42763706802432 is an abundant number, since it is smaller than the sum of its proper divisors (111035917765248).

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

42763706802432 is a wasteful number, since it uses less digits than its factorization.

42763706802432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120870 (or 120853 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 54.

The spelling of 42763706802432 in words is "forty-two trillion, seven hundred sixty-three billion, seven hundred six million, eight hundred two thousand, four hundred thirty-two".