1655495936640 has 2304 divisors, whose sum is σ = 7871605297920. Its totient is φ = 328410464256.

The previous prime is 1655495936639. The next prime is 1655495936687. The reversal of 1655495936640 is 466395945561.

1655495936640 is a `hidden beast` number, since 1 + 6 + 5 + 549 + 59 + 36 + 6 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1684125589 + ... + 1684126571.

It is an arithmetic number, because the mean of its divisors is an integer number (3416495355).

Almost surely, 2^{1655495936640} is an apocalyptic number.

1655495936640 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 1655495936640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3935802648960).

1655495936640 is an abundant number, since it is smaller than the sum of its proper divisors (6216109361280).

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

1655495936640 is a wasteful number, since it uses less digits than its factorization.

1655495936640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1061 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 104976000, while the sum is 63.

The spelling of 1655495936640 in words is "one trillion, six hundred fifty-five billion, four hundred ninety-five million, nine hundred thirty-six thousand, six hundred forty".