1264276016640 has 720 divisors, whose sum is σ = 5485271920128. Its totient is φ = 266745249792.

The previous prime is 1264276016617. The next prime is 1264276016651. The reversal of 1264276016640 is 466106724621.

1264276016640 is a `hidden beast` number, since 1 + 2 + 6 + 427 + 60 + 166 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×1264276016640² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14633409 + ... + 14719551.

Almost surely, 2^{1264276016640} is an apocalyptic number.

1264276016640 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 1264276016640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2742635960064).

1264276016640 is an abundant number, since it is smaller than the sum of its proper divisors (4220995903488).

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

1264276016640 is a wasteful number, since it uses less digits than its factorization.

1264276016640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86199 (or 86173 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 1264276016640 in words is "one trillion, two hundred sixty-four billion, two hundred seventy-six million, sixteen thousand, six hundred forty".