7646244480 has 640 divisors, whose sum is σ = 32879088000. Its totient is φ = 1654235136.

The previous prime is 7646244469. The next prime is 7646244493. The reversal of 7646244480 is 844426467.

7646244480 = 237³ + 238³ + ... + 428³.

7646244480 is a `hidden beast` number, since 76 + 4 + 62 + 44 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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 polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6894166 + ... + 6895274.

It is an arithmetic number, because the mean of its divisors is an integer number (51373575).

Almost surely, 2^7646244480 is an apocalyptic number.

7646244480 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 7646244480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16439544000).

7646244480 is an abundant number, since it is smaller than the sum of its proper divisors (25232843520).

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

7646244480 is a wasteful number, since it uses less digits than its factorization.

7646244480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1166 (or 1145 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 45.

The square root of 7646244480 is about 87442.8069082872. The cubic root of 7646244480 is about 1970.0748492093.

The spelling of 7646244480 in words is "seven billion, six hundred forty-six million, two hundred forty-four thousand, four hundred eighty".