10407672275 has 288 divisors, whose sum is σ = 19236268800. Its totient is φ = 5472230400.

The previous prime is 10407672263. The next prime is 10407672367. The reversal of 10407672275 is 57227670401.

It is not a de Polignac number, because 10407672275 - 2⁶ = 10407672211 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 176401196 + ... + 176401254.

It is an arithmetic number, because the mean of its divisors is an integer number (66792600).

Almost surely, 2^10407672275 is an apocalyptic number.

10407672275 is a deficient number, since it is larger than the sum of its proper divisors (8828596525).

10407672275 is a wasteful number, since it uses less digits than its factorization.

10407672275 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 164640, while the sum is 41.

It can be divided in two parts, 104076 and 72275, that multiplied together give a square (7522092900 = 86730²).

The spelling of 10407672275 in words is "ten billion, four hundred seven million, six hundred seventy-two thousand, two hundred seventy-five".