98692768440 has 768 divisors, whose sum is σ = 394377984000. Its totient is φ = 21727512576.

The previous prime is 98692768411. The next prime is 98692768501. The reversal of 98692768440 is 4486729689.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 495943461 + ... + 495943659.

It is an arithmetic number, because the mean of its divisors is an integer number (513513000).

Almost surely, 2^98692768440 is an apocalyptic number.

98692768440 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 98692768440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197188992000).

98692768440 is an abundant number, since it is smaller than the sum of its proper divisors (295685215560).

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

98692768440 is a wasteful number, since it uses less digits than its factorization.

98692768440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 450 counting only the distinct ones).

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

The spelling of 98692768440 in words is "ninety-eight billion, six hundred ninety-two million, seven hundred sixty-eight thousand, four hundred forty".