1020658472064 has 576 divisors, whose sum is σ = 3851772674400. Its totient is φ = 265100774400.

The previous prime is 1020658472011. The next prime is 1020658472081. The reversal of 1020658472064 is 4602748560201.

1020658472064 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 6 + 584 + 7 + 2 + 0 + 64 = 666.

1020658472064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20465719 + ... + 20515529.

Almost surely, 2^{1020658472064} is an apocalyptic number.

1020658472064 is a gapful number since it is divisible by the number (14) 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 1020658472064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1925886337200).

1020658472064 is an abundant number, since it is smaller than the sum of its proper divisors (2831114202336).

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

1020658472064 is a wasteful number, since it uses less digits than its factorization.

1020658472064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49870 (or 49834 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 1020658472064 in words is "one trillion, twenty billion, six hundred fifty-eight million, four hundred seventy-two thousand, sixty-four".