7664774040 has 1152 divisors, whose sum is σ = 34856640000. Its totient is φ = 1508855040.

The previous prime is 7664774011. The next prime is 7664774057. The reversal of 7664774040 is 404774667.

It is a super-2 number, since 2×7664774040² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 403409151 + ... + 403409169.

It is an arithmetic number, because the mean of its divisors is an integer number (30257500).

Almost surely, 2^7664774040 is an apocalyptic number.

7664774040 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7664774040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17428320000).

7664774040 is an abundant number, since it is smaller than the sum of its proper divisors (27191865960).

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

7664774040 is a wasteful number, since it uses less digits than its factorization.

7664774040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 45.

The square root of 7664774040 is about 87548.6952501292. The cubic root of 7664774040 is about 1971.6649619319.

The spelling of 7664774040 in words is "seven billion, six hundred sixty-four million, seven hundred seventy-four thousand, forty".