3670615742640 has 960 divisors, whose sum is σ = 14953823465472. Its totient is φ = 735746457600.

The previous prime is 3670615742623. The next prime is 3670615742659. The reversal of 3670615742640 is 462475160763.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1415585184 + ... + 1415587776.

Almost surely, 2^{3670615742640} is an apocalyptic number.

3670615742640 is a gapful number since it is divisible by the number (30) 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 3670615742640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7476911732736).

3670615742640 is an abundant number, since it is smaller than the sum of its proper divisors (11283207722832).

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

3670615742640 is a wasteful number, since it uses less digits than its factorization.

3670615742640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3018 (or 3005 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 51.

The spelling of 3670615742640 in words is "three trillion, six hundred seventy billion, six hundred fifteen million, seven hundred forty-two thousand, six hundred forty".