45467600640 has 576 divisors, whose sum is σ = 181970288640. Its totient is φ = 9399582720.

The previous prime is 45467600603. The next prime is 45467600653. The reversal of 45467600640 is 4600676454.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 45467600592 and 45467600601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 108514351 + ... + 108514769.

It is an arithmetic number, because the mean of its divisors is an integer number (315920640).

Almost surely, 2^45467600640 is an apocalyptic number.

45467600640 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 45467600640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90985144320).

45467600640 is an abundant number, since it is smaller than the sum of its proper divisors (136502688000).

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

45467600640 is a wasteful number, since it uses less digits than its factorization.

45467600640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 42.

The spelling of 45467600640 in words is "forty-five billion, four hundred sixty-seven million, six hundred thousand, six hundred forty".