42763181416704 has 864 divisors, whose sum is σ = 154118944788480. Its totient is φ = 11639738880000.

The previous prime is 42763181416693. The next prime is 42763181416729. The reversal of 42763181416704 is 40761418136724.

42763181416704 is a `hidden beast` number, since 4 + 27 + 63 + 1 + 81 + 416 + 70 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1955234889 + ... + 1955256759.

It is an arithmetic number, because the mean of its divisors is an integer number (178378408320).

Almost surely, 2^{42763181416704} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42763181416704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77059472394240).

42763181416704 is an abundant number, since it is smaller than the sum of its proper divisors (111355763371776).

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

42763181416704 is a wasteful number, since it uses less digits than its factorization.

42763181416704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22184 (or 22157 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 42763181416704 in words is "forty-two trillion, seven hundred sixty-three billion, one hundred eighty-one million, four hundred sixteen thousand, seven hundred four".