45776240640 has 576 divisors, whose sum is σ = 176160096000. Its totient is φ = 11211374592.

The previous prime is 45776240639. The next prime is 45776240647. The reversal of 45776240640 is 4604267754.

It is a tau number, because it is divible by the number of its divisors (576).

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 (45776240647) 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, 230031261 + ... + 230031459.

It is an arithmetic number, because the mean of its divisors is an integer number (305833500).

Almost surely, 2^45776240640 is an apocalyptic number.

45776240640 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 45776240640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88080048000).

45776240640 is an abundant number, since it is smaller than the sum of its proper divisors (130383855360).

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

45776240640 is an equidigital number, since it uses as much as digits as its factorization.

45776240640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

The spelling of 45776240640 in words is "forty-five billion, seven hundred seventy-six million, two hundred forty thousand, six hundred forty".