46047564000 has 576 divisors, whose sum is σ = 179564636160. Its totient is φ = 11123481600.

The previous prime is 46047563999. The next prime is 46047564007. The reversal of 46047564000 is 46574064.

46047564000 is a `hidden beast` number, since 4 + 6 + 0 + 4 + 7 + 5 + 640 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46047564007) 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, 15730537 + ... + 15733463.

It is an arithmetic number, because the mean of its divisors is an integer number (311744160).

Almost surely, 2^46047564000 is an apocalyptic number.

46047564000 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 46047564000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89782318080).

46047564000 is an abundant number, since it is smaller than the sum of its proper divisors (133517072160).

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

46047564000 is a wasteful number, since it uses less digits than its factorization.

46047564000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3000 (or 2979 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 46047564000 in words is "forty-six billion, forty-seven million, five hundred sixty-four thousand".