42728696640 has 448 divisors, whose sum is σ = 173004480000. Its totient is φ = 9725018112.

The previous prime is 42728696629. The next prime is 42728696641. The reversal of 42728696640 is 4669682724.

It is a tau number, because it is divible by the number of its divisors (448).

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 (42728696641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15541986 + ... + 15544734.

Almost surely, 2^42728696640 is an apocalyptic number.

42728696640 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 42728696640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86502240000).

42728696640 is an abundant number, since it is smaller than the sum of its proper divisors (130275783360).

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

42728696640 is a wasteful number, since it uses less digits than its factorization.

42728696640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3039 (or 3023 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 42728696640 in words is "forty-two billion, seven hundred twenty-eight million, six hundred ninety-six thousand, six hundred forty".