73762757649 has 81 divisors (see below), whose sum is σ = 128971195977. Its totient is φ = 42062151096.

The previous prime is 73762757611. The next prime is 73762757689. The reversal of 73762757649 is 94675726737.

The square root of 73762757649 is 271593.

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

73762757649 is a `hidden beast` number, since 7 + 37 + 6 + 27 + 576 + 4 + 9 = 666.

It is a tau number, because it is divible by the number of its divisors (81).

It is not a de Polignac number, because 73762757649 - 2¹³ = 73762749457 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (73762757689) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 153992992 + ... + 153993470.

Almost surely, 2^73762757649 is an apocalyptic number.

73762757649 is the 271593-rd square number.

73762757649 is the 135797-th centered octagonal number.

It is an amenable number.

73762757649 is a deficient number, since it is larger than the sum of its proper divisors (55208438328).

73762757649 is an frugal number, since it uses more digits than its factorization.

73762757649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 996 (or 489 counting only the distinct ones).

The product of its digits is 93350880, while the sum is 63.

The spelling of 73762757649 in words is "seventy-three billion, seven hundred sixty-two million, seven hundred fifty-seven thousand, six hundred forty-nine".