1270406472768 has 672 divisors, whose sum is σ = 3963921561600. Its totient is φ = 403103361024.

The previous prime is 1270406472743. The next prime is 1270406472877. The reversal of 1270406472768 is 8672746040721.

1270406472768 is a `hidden beast` number, since 1 + 2 + 70 + 40 + 6 + 472 + 7 + 68 = 666.

It is a super-2 number, since 2×1270406472768² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7343389930 + ... + 7343390102.

It is an arithmetic number, because the mean of its divisors is an integer number (5898692800).

Almost surely, 2^{1270406472768} is an apocalyptic number.

1270406472768 is a gapful number since it is divisible by the number (18) 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 1270406472768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1981960780800).

1270406472768 is an abundant number, since it is smaller than the sum of its proper divisors (2693515088832).

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

1270406472768 is a wasteful number, since it uses less digits than its factorization.

1270406472768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 54.

The spelling of 1270406472768 in words is "one trillion, two hundred seventy billion, four hundred six million, four hundred seventy-two thousand, seven hundred sixty-eight".