1978358414760 has 1280 divisors, whose sum is σ = 8368429386240. Its totient is φ = 408094433280.

The previous prime is 1978358414731. The next prime is 1978358414771. The reversal of 1978358414760 is 674148538791.

1978358414760 is a `hidden beast` number, since 1 + 9 + 7 + 8 + 3 + 584 + 1 + 47 + 6 + 0 = 666.

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

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, 5701320907 + ... + 5701321253.

It is an arithmetic number, because the mean of its divisors is an integer number (6537835458).

Almost surely, 2^{1978358414760} is an apocalyptic number.

1978358414760 is a gapful number since it is divisible by the number (10) 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 1978358414760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4184214693120).

1978358414760 is an abundant number, since it is smaller than the sum of its proper divisors (6390070971480).

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

1978358414760 is a wasteful number, since it uses less digits than its factorization.

1978358414760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 768 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 1978358414760 in words is "one trillion, nine hundred seventy-eight billion, three hundred fifty-eight million, four hundred fourteen thousand, seven hundred sixty".