96752481480 has 384 divisors, whose sum is σ = 346661078400. Its totient is φ = 24185475072.

The previous prime is 96752481457. The next prime is 96752481481. The reversal of 96752481480 is 8418425769.

It is a happy number.

96752481480 is a `hidden beast` number, since 9 + 67 + 5 + 24 + 81 + 480 = 666.

It is a super-2 number, since 2×96752481480² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (96752481481) 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, 46761886 + ... + 46763954.

It is an arithmetic number, because the mean of its divisors is an integer number (902763225).

Almost surely, 2^96752481480 is an apocalyptic number.

96752481480 is a gapful number since it is divisible by the number (90) 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 96752481480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173330539200).

96752481480 is an abundant number, since it is smaller than the sum of its proper divisors (249908596920).

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

96752481480 is a wasteful number, since it uses less digits than its factorization.

96752481480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2395 (or 2379 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 96752481480 in words is "ninety-six billion, seven hundred fifty-two million, four hundred eighty-one thousand, four hundred eighty".