4006737674000 has 40 divisors (see below), whose sum is σ = 9688291700568. Its totient is φ = 1602695068800.

The previous prime is 4006737673999. The next prime is 4006737674057. The reversal of 4006737674000 is 4767376004.

4006737674000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 791587442944 + 3215150231056 = 889712^2 + 1793084^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1001682419 + ... + 1001686418.

Almost surely, 2^{4006737674000} is an apocalyptic number.

4006737674000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4006737674000 is an abundant number, since it is smaller than the sum of its proper divisors (5681554026568).

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

4006737674000 is a wasteful number, since it uses less digits than its factorization.

4006737674000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2003368860 (or 2003368844 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 44.

The spelling of 4006737674000 in words is "four trillion, six billion, seven hundred thirty-seven million, six hundred seventy-four thousand".