1607467680 has 960 divisors, whose sum is σ = 7376624640. Its totient is φ = 320495616.

The previous prime is 1607467663. The next prime is 1607467703. The reversal of 1607467680 is 867647061.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 34201417 + ... + 34201463.

It is an arithmetic number, because the mean of its divisors is an integer number (7683984).

Almost surely, 2^1607467680 is an apocalyptic number.

1607467680 is a gapful number since it is divisible by the number (10) 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 1607467680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3688312320).

1607467680 is an abundant number, since it is smaller than the sum of its proper divisors (5769156960).

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

1607467680 is a wasteful number, since it uses less digits than its factorization.

1607467680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 1607467680 is about 40093.2373349920. The cubic root of 1607467680 is about 1171.4239074061.

The spelling of 1607467680 in words is "one billion, six hundred seven million, four hundred sixty-seven thousand, six hundred eighty".