10428670062720 has 2880 divisors, whose sum is σ = 49706283112200. Its totient is φ = 2069454127104.

The previous prime is 10428670062719. The next prime is 10428670062751. The reversal of 10428670062720 is 2726007682401.

It is a happy number.

10428670062720 is a `hidden beast` number, since 10 + 4 + 2 + 8 + 6 + 7 + 0 + 0 + 627 + 2 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 343574167104 + 10085095895616 = 586152^2 + 3175704^2 .

It is a tau number, because it is divible by the number of its divisors (2880).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 7297878966 + ... + 7297880394.

Almost surely, 2^{10428670062720} is an apocalyptic number.

10428670062720 is a gapful number since it is divisible by the number (10) 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 10428670062720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24853141556100).

10428670062720 is an abundant number, since it is smaller than the sum of its proper divisors (39277613049480).

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

10428670062720 is a wasteful number, since it uses less digits than its factorization.

10428670062720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1517 (or 1476 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 10428670062720 in words is "ten trillion, four hundred twenty-eight billion, six hundred seventy million, sixty-two thousand, seven hundred twenty".