7638934801 has 9 divisors (see below), whose sum is σ = 7754340009. Its totient is φ = 7525226100.

The previous prime is 7638934757. The next prime is 7638934813. The reversal of 7638934801 is 1084398367.

It is a happy number.

The square root of 7638934801 is 87401.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 7638934801 - 2⁷ = 7638934673 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7638934861) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6204856 + ... + 6206086.

Almost surely, 2^7638934801 is an apocalyptic number.

7638934801 is a gapful number since it is divisible by the number (71) formed by its first and last digit.

7638934801 is the 87401-st square number.

7638934801 is the 43701-st centered octagonal number.

It is an amenable number.

7638934801 is a deficient number, since it is larger than the sum of its proper divisors (115405208).

7638934801 is an frugal number, since it uses more digits than its factorization.

7638934801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2604 (or 1302 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 49.

The cubic root of 7638934801 is about 1969.4468630939.

Multiplying 7638934801 by its sum of digits (49), we get a square (374307805249 = 611807²).

The spelling of 7638934801 in words is "seven billion, six hundred thirty-eight million, nine hundred thirty-four thousand, eight hundred one".