1640167681536 has 320 divisors, whose sum is σ = 4936678824000. Its totient is φ = 537572671488.

The previous prime is 1640167681489. The next prime is 1640167681543. The reversal of 1640167681536 is 6351867610461.

It is a happy number.

1640167681536 is a `hidden beast` number, since 1 + 6 + 40 + 1 + 6 + 7 + 68 + 1 + 536 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 352191720 + ... + 352196376.

It is an arithmetic number, because the mean of its divisors is an integer number (15427121325).

Almost surely, 2^{1640167681536} is an apocalyptic number.

1640167681536 is a gapful number since it is divisible by the number (16) 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 1640167681536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2468339412000).

1640167681536 is an abundant number, since it is smaller than the sum of its proper divisors (3296511142464).

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

1640167681536 is an equidigital number, since it uses as much as digits as its factorization.

1640167681536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5106 (or 5084 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 1640167681536 in words is "one trillion, six hundred forty billion, one hundred sixty-seven million, six hundred eighty-one thousand, five hundred thirty-six".