162774079856640 has 3136 divisors, whose sum is σ = 746336419683840. Its totient is φ = 33160188395520.

The previous prime is 162774079856569. The next prime is 162774079856693. The reversal of 162774079856640 is 46658970477261.

162774079856640 is a `hidden beast` number, since 1 + 6 + 2 + 77 + 407 + 98 + 5 + 6 + 64 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 67513097035 + ... + 67513099445.

Almost surely, 2^{162774079856640} is an apocalyptic number.

162774079856640 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 162774079856640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373168209841920).

162774079856640 is an abundant number, since it is smaller than the sum of its proper divisors (583562339827200).

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

162774079856640 is an equidigital number, since it uses as much as digits as its factorization.

162774079856640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2503 (or 2464 counting only the distinct ones).

The product of its (nonzero) digits is 853493760, while the sum is 72.

The spelling of 162774079856640 in words is "one hundred sixty-two trillion, seven hundred seventy-four billion, seventy-nine million, eight hundred fifty-six thousand, six hundred forty".