652807766016 has 616 divisors, whose sum is σ = 2273849096784. Its totient is φ = 183458856960.

The previous prime is 652807765969. The next prime is 652807766053. The reversal of 652807766016 is 610667708256.

652807766016 is a `hidden beast` number, since 6 + 5 + 28 + 0 + 7 + 7 + 6 + 601 + 6 = 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 27 ways as a sum of consecutive naturals, for example, 10701766626 + ... + 10701766686.

Almost surely, 2^652807766016 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 652807766016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1136924548392).

652807766016 is an abundant number, since it is smaller than the sum of its proper divisors (1621041330768).

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

652807766016 is an frugal number, since it uses more digits than its factorization.

652807766016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 652807766016 in words is "six hundred fifty-two billion, eight hundred seven million, seven hundred sixty-six thousand, sixteen".