42737477760 has 384 divisors, whose sum is σ = 157757932800. Its totient is φ = 10623418368.

The previous prime is 42737477753. The next prime is 42737477767. The reversal of 42737477760 is 6777473724.

It is a happy number.

42737477760 is a `hidden beast` number, since 42 + 73 + 7 + 477 + 7 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (42737477753) and next prime (42737477767).

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 42737477697 and 42737477706.

It is not an unprimeable number, because it can be changed into a prime (42737477767) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10475401 + ... + 10479479.

It is an arithmetic number, because the mean of its divisors is an integer number (410827950).

Almost surely, 2^42737477760 is an apocalyptic number.

42737477760 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 42737477760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78878966400).

42737477760 is an abundant number, since it is smaller than the sum of its proper divisors (115020455040).

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

42737477760 is a wasteful number, since it uses less digits than its factorization.

42737477760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4228 (or 4213 counting only the distinct ones).

The product of its (nonzero) digits is 9680832, while the sum is 54.

The spelling of 42737477760 in words is "forty-two billion, seven hundred thirty-seven million, four hundred seventy-seven thousand, seven hundred sixty".