47772695040 has 960 divisors, whose sum is σ = 188894052864. Its totient is φ = 10255859712.

The previous prime is 47772695039. The next prime is 47772695041. The reversal of 47772695040 is 4059627774.

47772695040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (47772695039) and next prime (47772695041).

It is a tau number, because it is divible by the number of its divisors (960).

It is not an unprimeable number, because it can be changed into a prime (47772695041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 654420444 + ... + 654420516.

Almost surely, 2^47772695040 is an apocalyptic number.

47772695040 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 47772695040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94447026432).

47772695040 is an abundant number, since it is smaller than the sum of its proper divisors (141121357824).

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

47772695040 is a wasteful number, since it uses less digits than its factorization.

47772695040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 51.

The spelling of 47772695040 in words is "forty-seven billion, seven hundred seventy-two million, six hundred ninety-five thousand, forty".