1672464640 has 288 divisors, whose sum is σ = 5086126080. Its totient is φ = 511795200.

The previous prime is 1672464617. The next prime is 1672464697. The reversal of 1672464640 is 464642761.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 1672464593 and 1672464602.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6997641 + ... + 6997879.

It is an arithmetic number, because the mean of its divisors is an integer number (17660160).

Almost surely, 2^1672464640 is an apocalyptic number.

1672464640 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 1672464640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2543063040).

1672464640 is an abundant number, since it is smaller than the sum of its proper divisors (3413661440).

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

1672464640 is a wasteful number, since it uses less digits than its factorization.

1672464640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 40.

The square root of 1672464640 is about 40895.7777771740. Note that the first 6 decimals coincide. The cubic root of 1672464640 is about 1187.0043618022.

The spelling of 1672464640 in words is "one billion, six hundred seventy-two million, four hundred sixty-four thousand, six hundred forty".