1672037640 has 640 divisors, whose sum is σ = 7113173760. Its totient is φ = 342890496.

The previous prime is 1672037629. The next prime is 1672037641. The reversal of 1672037640 is 467302761.

1672037640 is a `hidden beast` number, since 1 + 6 + 7 + 2 + 0 + 3 + 7 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1672037595 and 1672037604.

It is not an unprimeable number, because it can be changed into a prime (1672037641) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 15626467 + ... + 15626573.

It is an arithmetic number, because the mean of its divisors is an integer number (11114334).

Almost surely, 2^1672037640 is an apocalyptic number.

1672037640 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 1672037640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3556586880).

1672037640 is an abundant number, since it is smaller than the sum of its proper divisors (5441136120).

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

1672037640 is a wasteful number, since it uses less digits than its factorization.

1672037640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 1672037640 is about 40890.5568560762. The cubic root of 1672037640 is about 1186.9033344538.

The spelling of 1672037640 in words is "one billion, six hundred seventy-two million, thirty-seven thousand, six hundred forty".