979748640 has 288 divisors, whose sum is σ = 3632428800. Its totient is φ = 239044608.

The previous prime is 979748621. The next prime is 979748659. The reversal of 979748640 is 46847979.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (979748621) and next prime (979748659).

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3725149 + ... + 3725411.

It is an arithmetic number, because the mean of its divisors is an integer number (12612600).

Almost surely, 2^979748640 is an apocalyptic number.

979748640 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 979748640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1816214400).

979748640 is an abundant number, since it is smaller than the sum of its proper divisors (2652680160).

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

979748640 is a wasteful number, since it uses less digits than its factorization.

979748640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The square root of 979748640 is about 31300.9367271972. The cubic root of 979748640 is about 993.2034583390.

The spelling of 979748640 in words is "nine hundred seventy-nine million, seven hundred forty-eight thousand, six hundred forty".