901975695642 has 192 divisors, whose sum is σ = 2433914956800. Its totient is φ = 246590023680.

The previous prime is 901975695623. The next prime is 901975695653. The reversal of 901975695642 is 246596579109.

901975695642 is a `hidden beast` number, since 9 + 0 + 1 + 9 + 7 + 5 + 69 + 564 + 2 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 901975695642.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7238538 + ... + 7362090.

It is an arithmetic number, because the mean of its divisors is an integer number (12676640400).

Almost surely, 2^901975695642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 901975695642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1216957478400).

901975695642 is an abundant number, since it is smaller than the sum of its proper divisors (1531939261158).

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

901975695642 is a wasteful number, since it uses less digits than its factorization.

901975695642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123698 (or 123685 counting only the distinct ones).

The product of its (nonzero) digits is 36741600, while the sum is 63.

The spelling of 901975695642 in words is "nine hundred one billion, nine hundred seventy-five million, six hundred ninety-five thousand, six hundred forty-two".