44946800640 has 480 divisors, whose sum is σ = 182698306560. Its totient is φ = 10270015488.

The previous prime is 44946800627. The next prime is 44946800641. The reversal of 44946800640 is 4600864944.

It is a tau number, because it is divible by the number of its divisors (480).

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 (44946800641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15481429 + ... + 15484331.

It is an arithmetic number, because the mean of its divisors is an integer number (380621472).

Almost surely, 2^44946800640 is an apocalyptic number.

44946800640 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 44946800640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91349153280).

44946800640 is an abundant number, since it is smaller than the sum of its proper divisors (137751505920).

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

44946800640 is an equidigital number, since it uses as much as digits as its factorization.

44946800640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2952 (or 2920 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 44946800640 in words is "forty-four billion, nine hundred forty-six million, eight hundred thousand, six hundred forty".