46887321600 has 1080 divisors, whose sum is σ = 202830351360. Its totient is φ = 10121379840.

The previous prime is 46887321499. The next prime is 46887321601. The reversal of 46887321600 is 612378864.

46887321600 is a `hidden beast` number, since 4 + 6 + 8 + 8 + 7 + 32 + 1 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46887321601) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 593510361 + ... + 593510439.

Almost surely, 2^46887321600 is an apocalyptic number.

46887321600 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 46887321600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101415175680).

46887321600 is an abundant number, since it is smaller than the sum of its proper divisors (155943029760).

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

46887321600 is a wasteful number, since it uses less digits than its factorization.

46887321600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 46887321600 in words is "forty-six billion, eight hundred eighty-seven million, three hundred twenty-one thousand, six hundred".