47645576000 has 224 divisors, whose sum is σ = 130658396544. Its totient is φ = 17064960000.

The previous prime is 47645575981. The next prime is 47645576029. The reversal of 47645576000 is 67554674.

47645576000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5891960 + ... + 5900040.

Almost surely, 2^47645576000 is an apocalyptic number.

47645576000 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 47645576000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65329198272).

47645576000 is an abundant number, since it is smaller than the sum of its proper divisors (83012820544).

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

47645576000 is a wasteful number, since it uses less digits than its factorization.

47645576000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8186 (or 8166 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 44.

The spelling of 47645576000 in words is "forty-seven billion, six hundred forty-five million, five hundred seventy-six thousand".