10707020273664 has 384 divisors, whose sum is σ = 37261674777600. Its totient is φ = 2994968494080.

The previous prime is 10707020273657. The next prime is 10707020273717. The reversal of 10707020273664 is 46637202070701.

10707020273664 is a `hidden beast` number, since 10 + 7 + 0 + 70 + 202 + 7 + 366 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×10707020273664² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7230297 + ... + 8584359.

It is an arithmetic number, because the mean of its divisors is an integer number (97035611400).

Almost surely, 2^{10707020273664} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10707020273664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18630837388800).

10707020273664 is an abundant number, since it is smaller than the sum of its proper divisors (26554654503936).

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

10707020273664 is a wasteful number, since it uses less digits than its factorization.

10707020273664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1354118 (or 1354092 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 45.

The spelling of 10707020273664 in words is "ten trillion, seven hundred seven billion, twenty million, two hundred seventy-three thousand, six hundred sixty-four".