92749688640 has 1344 divisors, whose sum is σ = 405344010240. Its totient is φ = 18990858240.

The previous prime is 92749688627. The next prime is 92749688641. The reversal of 92749688640 is 4688694729.

92749688640 is a `hidden beast` number, since 9 + 2 + 7 + 496 + 88 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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 (92749688641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 866819467 + ... + 866819573.

Almost surely, 2^92749688640 is an apocalyptic number.

92749688640 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 92749688640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202672005120).

92749688640 is an abundant number, since it is smaller than the sum of its proper divisors (312594321600).

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

92749688640 is a wasteful number, since it uses less digits than its factorization.

92749688640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 92749688640 in words is "ninety-two billion, seven hundred forty-nine million, six hundred eighty-eight thousand, six hundred forty".