96749092440 has 1280 divisors, whose sum is σ = 455945656320. Its totient is φ = 17736744960.

The previous prime is 96749092439. The next prime is 96749092471. The reversal of 96749092440 is 4429094769.

96749092440 is a `hidden beast` number, since 9 + 67 + 490 + 92 + 4 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 74593872 + ... + 74595168.

It is an arithmetic number, because the mean of its divisors is an integer number (356207544).

Almost surely, 2^96749092440 is an apocalyptic number.

96749092440 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 96749092440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227972828160).

96749092440 is an abundant number, since it is smaller than the sum of its proper divisors (359196563880).

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

96749092440 is a wasteful number, since it uses less digits than its factorization.

96749092440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1374 (or 1361 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 96749092440 in words is "ninety-six billion, seven hundred forty-nine million, ninety-two thousand, four hundred forty".