7457891901 has 16 divisors (see below), whose sum is σ = 10102174848. Its totient is φ = 4893022400.

The previous prime is 7457891893. The next prime is 7457891927. The reversal of 7457891901 is 1091987547.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 7457891901 - 2³ = 7457891893 is a prime.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7457891201) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87211 + ... + 150071.

It is an arithmetic number, because the mean of its divisors is an integer number (631385928).

Almost surely, 2^7457891901 is an apocalyptic number.

7457891901 is a gapful number since it is divisible by the number (71) formed by its first and last digit.

It is an amenable number.

7457891901 is a deficient number, since it is larger than the sum of its proper divisors (2644282947).

7457891901 is a wasteful number, since it uses less digits than its factorization.

7457891901 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63492.

The product of its (nonzero) digits is 635040, while the sum is 51.

The square root of 7457891901 is about 86359.0869625195. The cubic root of 7457891901 is about 1953.7636626362.

The spelling of 7457891901 in words is "seven billion, four hundred fifty-seven million, eight hundred ninety-one thousand, nine hundred one".