5405880400767 has 640 divisors, whose sum is σ = 11517704478720. Its totient is φ = 2459125785600.

The previous prime is 5405880400763. The next prime is 5405880400769. The reversal of 5405880400767 is 7670040885045.

5405880400767 is a `hidden beast` number, since 5 + 40 + 58 + 80 + 400 + 76 + 7 = 666.

It is not a de Polignac number, because 5405880400767 - 2² = 5405880400763 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5405880400763) by changing a digit.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 16331964792 + ... + 16331965122.

It is an arithmetic number, because the mean of its divisors is an integer number (17996413248).

Almost surely, 2^{5405880400767} is an apocalyptic number.

5405880400767 is a gapful number since it is divisible by the number (57) formed by its first and last digit.

5405880400767 is an abundant number, since it is smaller than the sum of its proper divisors (6111824077953).

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

5405880400767 is a wasteful number, since it uses less digits than its factorization.

5405880400767 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 54.

The spelling of 5405880400767 in words is "five trillion, four hundred five billion, eight hundred eighty million, four hundred thousand, seven hundred sixty-seven".