7874677440 has 1344 divisors, whose sum is σ = 36426184704. Its totient is φ = 1576599552.

The previous prime is 7874677367. The next prime is 7874677451. The reversal of 7874677440 is 447764787.

7874677440 is a `hidden beast` number, since 78 + 7 + 467 + 74 + 40 = 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 (54).

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, 212829102 + ... + 212829138.

It is an arithmetic number, because the mean of its divisors is an integer number (27102816).

Almost surely, 2^7874677440 is an apocalyptic number.

7874677440 is a gapful number since it is divisible by the number (70) 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 7874677440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18213092352).

7874677440 is an abundant number, since it is smaller than the sum of its proper divisors (28551507264).

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

7874677440 is a wasteful number, since it uses less digits than its factorization.

7874677440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 7375872, while the sum is 54.

The square root of 7874677440 is about 88739.3793081741. The cubic root of 7874677440 is about 1989.5014398801.

The spelling of 7874677440 in words is "seven billion, eight hundred seventy-four million, six hundred seventy-seven thousand, four hundred forty".