46433780640 has 288 divisors, whose sum is σ = 171996604416. Its totient is φ = 11339274240.

The previous prime is 46433780633. The next prime is 46433780647. The reversal of 46433780640 is 4608733464.

46433780640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (46433780633) and next prime (46433780647).

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (46433780647) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2367675 + ... + 2387205.

It is an arithmetic number, because the mean of its divisors is an integer number (597210432).

Almost surely, 2^46433780640 is an apocalyptic number.

46433780640 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 46433780640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85998302208).

46433780640 is an abundant number, since it is smaller than the sum of its proper divisors (125562823776).

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

46433780640 is a wasteful number, since it uses less digits than its factorization.

46433780640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19692 (or 19681 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 46433780640 in words is "forty-six billion, four hundred thirty-three million, seven hundred eighty thousand, six hundred forty".