10377761616 has 60 divisors (see below), whose sum is σ = 29146789620. Its totient is φ = 3446929920.

The previous prime is 10377761573. The next prime is 10377761627. The reversal of 10377761616 is 61616777301.

10377761616 is a `hidden beast` number, since 10 + 3 + 7 + 7 + 7 + 616 + 16 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8964302400 + 1413459216 = 94680^2 + 37596^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 87771 + ... + 168698.

It is an arithmetic number, because the mean of its divisors is an integer number (485779827).

Almost surely, 2^10377761616 is an apocalyptic number.

10377761616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10377761616 is an abundant number, since it is smaller than the sum of its proper divisors (18769028004).

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

10377761616 is a wasteful number, since it uses less digits than its factorization.

10377761616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256764 (or 256755 counting only the distinct ones).

The product of its (nonzero) digits is 222264, while the sum is 45.

The spelling of 10377761616 in words is "ten billion, three hundred seventy-seven million, seven hundred sixty-one thousand, six hundred sixteen".