1264053172767 has 64 divisors (see below), whose sum is σ = 2130738216960. Its totient is φ = 647468640000.

The previous prime is 1264053172747. The next prime is 1264053172787. The reversal of 1264053172767 is 7672713504621.

It is an interprime number because it is at equal distance from previous prime (1264053172747) and next prime (1264053172787).

It is not a de Polignac number, because 1264053172767 - 2⁶ = 1264053172703 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1264053172747) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13658883 + ... + 13751115.

It is an arithmetic number, because the mean of its divisors is an integer number (33292784640).

Almost surely, 2^{1264053172767} is an apocalyptic number.

1264053172767 is a deficient number, since it is larger than the sum of its proper divisors (866685044193).

1264053172767 is a wasteful number, since it uses less digits than its factorization.

1264053172767 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93084.

The product of its (nonzero) digits is 2963520, while the sum is 51.

The spelling of 1264053172767 in words is "one trillion, two hundred sixty-four billion, fifty-three million, one hundred seventy-two thousand, seven hundred sixty-seven".