1672957440 has 960 divisors, whose sum is σ = 7721505792. Its totient is φ = 324403200.

The previous prime is 1672957409. The next prime is 1672957453. The reversal of 1672957440 is 447592761.

1672957440 is a `hidden beast` number, since 1 + 6 + 72 + 9 + 574 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40803820 + ... + 40803860.

Almost surely, 2^1672957440 is an apocalyptic number.

1672957440 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 1672957440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3860752896).

1672957440 is an abundant number, since it is smaller than the sum of its proper divisors (6048548352).

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

1672957440 is a wasteful number, since it uses less digits than its factorization.

1672957440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 1672957440 is about 40901.8024052730. The cubic root of 1672957440 is about 1187.1209359271.

The spelling of 1672957440 in words is "one billion, six hundred seventy-two million, nine hundred fifty-seven thousand, four hundred forty".