7463984640 has 320 divisors, whose sum is σ = 28877865984. Its totient is φ = 1605500928.

The previous prime is 7463984639. The next prime is 7463984699. The reversal of 7463984640 is 464893647.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×7463984640² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 909837 + ... + 918003.

Almost surely, 2^7463984640 is an apocalyptic number.

7463984640 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 7463984640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14438932992).

7463984640 is an abundant number, since it is smaller than the sum of its proper divisors (21413881344).

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

7463984640 is a wasteful number, since it uses less digits than its factorization.

7463984640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8217 (or 8201 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 51.

The square root of 7463984640 is about 86394.3553711699. The cubic root of 7463984640 is about 1954.2955614663.

The spelling of 7463984640 in words is "seven billion, four hundred sixty-three million, nine hundred eighty-four thousand, six hundred forty".