7906401672 has 64 divisors (see below), whose sum is σ = 21647304000. Its totient is φ = 2391500544.

The previous prime is 7906401661. The next prime is 7906401683. The reversal of 7906401672 is 2761046097.

It is an interprime number because it is at equal distance from previous prime (7906401661) and next prime (7906401683).

It is a super-2 number, since 2×7906401672² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 196347 + ... + 233162.

It is an arithmetic number, because the mean of its divisors is an integer number (338239125).

Almost surely, 2^7906401672 is an apocalyptic number.

It is an amenable number.

7906401672 is an abundant number, since it is smaller than the sum of its proper divisors (13740902328).

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

7906401672 is a wasteful number, since it uses less digits than its factorization.

7906401672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429590 (or 429586 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 42.

The square root of 7906401672 is about 88917.9490991555. The cubic root of 7906401672 is about 1992.1695211452.

The spelling of 7906401672 in words is "seven billion, nine hundred six million, four hundred one thousand, six hundred seventy-two".