46788086400 has 576 divisors, whose sum is σ = 173197664640. Its totient is φ = 11088281600.

The previous prime is 46788086377. The next prime is 46788086437. The reversal of 46788086400 is 468088764.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 54594772 + ... + 54595628.

It is an arithmetic number, because the mean of its divisors is an integer number (300690390).

Almost surely, 2^46788086400 is an apocalyptic number.

46788086400 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 46788086400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86598832320).

46788086400 is an abundant number, since it is smaller than the sum of its proper divisors (126409578240).

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

46788086400 is a wasteful number, since it uses less digits than its factorization.

46788086400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 953 (or 925 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 51.

The spelling of 46788086400 in words is "forty-six billion, seven hundred eighty-eight million, eighty-six thousand, four hundred".