10077734983680 has 3840 divisors, whose sum is σ = 47308752691200. Its totient is φ = 1995115069440.

The previous prime is 10077734983663. The next prime is 10077734983697. The reversal of 10077734983680 is 8638943777001.

10077734983680 is a `hidden beast` number, since 1 + 0 + 0 + 77 + 73 + 498 + 3 + 6 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10077734983663) and next prime (10077734983697).

It is a tau number, because it is divible by the number of its divisors (3840).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 138051164124 + ... + 138051164196.

It is an arithmetic number, because the mean of its divisors is an integer number (12319987680).

Almost surely, 2^{10077734983680} is an apocalyptic number.

10077734983680 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 10077734983680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23654376345600).

10077734983680 is an abundant number, since it is smaller than the sum of its proper divisors (37231017707520).

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

10077734983680 is a wasteful number, since it uses less digits than its factorization.

10077734983680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 42674688, while the sum is 63.

The spelling of 10077734983680 in words is "ten trillion, seventy-seven billion, seven hundred thirty-four million, nine hundred eighty-three thousand, six hundred eighty".