7653903828480 has 960 divisors, whose sum is σ = 32860726778880. Its totient is φ = 1603210641408.

The previous prime is 7653903828437. The next prime is 7653903828481. The reversal of 7653903828480 is 848283093567.

7653903828480 is a `hidden beast` number, since 7 + 6 + 539 + 0 + 38 + 28 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×7653903828480² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7653903828481) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 291419829 + ... + 291446091.

It is an arithmetic number, because the mean of its divisors is an integer number (34229923728).

Almost surely, 2^{7653903828480} is an apocalyptic number.

7653903828480 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 7653903828480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16430363389440).

7653903828480 is an abundant number, since it is smaller than the sum of its proper divisors (25206822950400).

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

7653903828480 is a wasteful number, since it uses less digits than its factorization.

7653903828480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26451 (or 26432 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 7653903828480 in words is "seven trillion, six hundred fifty-three billion, nine hundred three million, eight hundred twenty-eight thousand, four hundred eighty".