10737468648 has 64 divisors (see below), whose sum is σ = 29957832000. Its totient is φ = 3563372736.

The previous prime is 10737468593. The next prime is 10737468653. The reversal of 10737468648 is 84686473701.

10737468648 is a `hidden beast` number, since 107 + 37 + 468 + 6 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 10737468594 and 10737468603.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60463 + ... + 158526.

It is an arithmetic number, because the mean of its divisors is an integer number (468091125).

Almost surely, 2^10737468648 is an apocalyptic number.

10737468648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10737468648 is an abundant number, since it is smaller than the sum of its proper divisors (19220363352).

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

10737468648 is a wasteful number, since it uses less digits than its factorization.

10737468648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219231 (or 219221 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 10737468648 in words is "ten billion, seven hundred thirty-seven million, four hundred sixty-eight thousand, six hundred forty-eight".