1607642540000 has 240 divisors, whose sum is σ = 4563972661248. Its totient is φ = 545835456000.

The previous prime is 1607642539967. The next prime is 1607642540027. The reversal of 1607642540000 is 452467061.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14364257 + ... + 14475743.

Almost surely, 2^{1607642540000} is an apocalyptic number.

1607642540000 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 1607642540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2281986330624).

1607642540000 is an abundant number, since it is smaller than the sum of its proper divisors (2956330121248).

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

1607642540000 is a wasteful number, since it uses less digits than its factorization.

1607642540000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111627 (or 111604 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The spelling of 1607642540000 in words is "one trillion, six hundred seven billion, six hundred forty-two million, five hundred forty thousand".