7390764864 has 336 divisors, whose sum is σ = 25462748160. Its totient is φ = 2095994880.

The previous prime is 7390764863. The next prime is 7390764889. The reversal of 7390764864 is 4684670937.

It is a happy number.

7390764864 is a `hidden beast` number, since 7 + 3 + 90 + 76 + 486 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-3 number, since 3×7390764864³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 7390764864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7390764863) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16172124 + ... + 16172580.

Almost surely, 2^7390764864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7390764864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12731374080).

7390764864 is an abundant number, since it is smaller than the sum of its proper divisors (18071983296).

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

7390764864 is a wasteful number, since it uses less digits than its factorization.

7390764864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 683 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The square root of 7390764864 is about 85969.5577748310. The cubic root of 7390764864 is about 1947.8841713431.

The spelling of 7390764864 in words is "seven billion, three hundred ninety million, seven hundred sixty-four thousand, eight hundred sixty-four".