1640296713600 has 432 divisors, whose sum is σ = 5992429802580. Its totient is φ = 427226204160.

The previous prime is 1640296713577. The next prime is 1640296713611. The reversal of 1640296713600 is 63176920461.

1640296713600 is a `hidden beast` number, since 1 + 6 + 4 + 0 + 29 + 6 + 7 + 13 + 600 = 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 polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 53235799 + ... + 53266601.

Almost surely, 2^{1640296713600} is an apocalyptic number.

1640296713600 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 1640296713600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2996214901290).

1640296713600 is an abundant number, since it is smaller than the sum of its proper divisors (4352133088980).

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

1640296713600 is a wasteful number, since it uses less digits than its factorization.

1640296713600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30919 (or 30856 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 1640296713600 in words is "one trillion, six hundred forty billion, two hundred ninety-six million, seven hundred thirteen thousand, six hundred".