1672511639040 has 1200 divisors, whose sum is σ = 6637937644800. Its totient is φ = 402178867200.

The previous prime is 1672511638991. The next prime is 1672511639069. The reversal of 1672511639040 is 409361152761.

1672511639040 is a `hidden beast` number, since 1 + 6 + 7 + 2 + 5 + 1 + 1 + 639 + 0 + 4 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4792296786 + ... + 4792297134.

It is an arithmetic number, because the mean of its divisors is an integer number (5531614704).

Almost surely, 2^{1672511639040} is an apocalyptic number.

1672511639040 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 1672511639040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3318968822400).

1672511639040 is an abundant number, since it is smaller than the sum of its proper divisors (4965426005760).

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

1672511639040 is a wasteful number, since it uses less digits than its factorization.

1672511639040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 1672511639040 in words is "one trillion, six hundred seventy-two billion, five hundred eleven million, six hundred thirty-nine thousand, forty".